If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is…

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Q: Find the derivative of the function by the limit process. f(x)= 2/x2

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Q: Determine the derivative of the cube root function f(x)=3√x using the limit definition.

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Q: Find the derivative of the function by the limit process. f(x) = 1/(x − 1)

A: We use the limit definition of the derivative

Q: Find the derivative of f(x) = x2 using the limit definition of derivative.

A: We have given function  f(x)= x2 So using definition of derivative  f'(x) = limh→0fx+h-fxh So,…

Q: Find the derivative by the limit process. f(x) = 11 – x2

A: We have to find the derivative by the limit process where f(x) = 11 – x2.

Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let f(x) = 2x² + 1. Use the limit definition of the derivative to find f'(x).

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Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

Q: Find the derivative of the function by the limit process.

A: Consider the given function fx=1x2   Derivative of any function fx using limit process is…

Q: Find the derivative of f (x) = 2/x using the limit definition.

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Q: Find the derivative of the function by the limit process.

A: The given function is fx=-5x. Obtain the derivative as follows.

Q: for f(x) = 3-x/2x+3 , find the f'(-1) using the limit definition of derivative. then use it to find…

A: f(x) = 3-x2x+3using limit defination f'(-1) = limx→-1f(x) -f(-1)x+1…

Q: Find the derivative of g(x)= (x+1)/(x+2) using th limit definition.

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Q: Suppose g(x)=4x^2-lnx is the derivative of f(x). Compute Lim x->0 (f(x+1)-f(1)/x) Please show steps…

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Q: Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

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Q: Find the derivative of the function by the limit process. f(x) = x2 − 5

A: Given function is By limit definition of the derivative

Q: lim is: X+ d X Does not exist

A: Use the definition of limit to solve this problem.

Q: Find y' if y = 5x + 2 using the limit definition of derivative.

A: Given that  y=5x+2

Q: Find the derivative of the function by the limit process.

A: Given: fx=x2-5 To Find: The derivative of the given function by the limit process

Q: find the derivative of the function f(x)=x^2 -2x using the definition of the derivative (a process…

A: Explanation of the answer is as follows

Q: (b) Show that lim (x.y)(0,0) 2x6 + y2 does not exist by letting (x, y)→(0, 0) along the curve y =…

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Q: Let f (x) = 2x² + 1. Use the limit definition of the derivative to find f'(x) %3D

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Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Find the derivative of the function by the limit process. f(x) = vX +7

A: Given,          The function is fx=x+7.

Q: Find the derivative of the function by the limit process. 7 f(x): x - 9

A: Given,          The function is fx=7x-9.

Q: :) Given f(x) = |x|+x, at which point does the derivative not exist? Mathematically Question 4 (-…

A: We are given a function fx=x+x and we have to find the point at which fx is not derivable. We know…

Q: Find the derivative of the function by the limit process. f(x) = 7x – 6 %3D

A: The derivative is calculated using the limit process as follows. f'x=limh→0fx+h-fxh Now, fx+h=7x+h-6

Q: According to the alternate form of the definition of the derivative, to compute f′(0), we need to…

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Q: Show that xy lim (x,y)→(0,0) x2 + y8 does not exist.

A: If two different path have two different limit then limit does not exist . Now find the limit along…

Q: Suppose that f(x) is a differentiable function (with a continuous derivative), such that f(0)=…

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Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

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Q: 2x 3, Use the limit definition of derivative to show that f(x) is differentiable at x2 – 3, r > 2 x…

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Q: Find the derivative by the limit process. f(x) = 13 – x2

A: Given that: f(x)=13-x2

Q: Find the derivative by the limit process. f(x) = 15 – x²

A: Givenf(x)=15-x2Step -1From the definition of derivativef'(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: Suppose that f(x) is a differentiable function (with a continuous derivative), such that f(0)=f'(0)…

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Q: Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the…

A: According to question given that f(x)=|x|+x"A function f is said to be differentiable at a if  f'(a)…

Q: Find lim 2x sin using the Squeeze theorem. x-0

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Q: Find the limit limx→0ln(1+4x)sin3x.

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Q: 3) Use the limit definition of the derivative to find f' (x) if f(x) = - %3D

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Q: find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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Q: Find the derivative of the function by the limit process. f(x) = x3 − 2x + 1

A: Given function is fx=x3-2x+1. From the definition of derivative, we have f'x=limh→0fx+h-fxh Using…

Q: For f(x) = 2x2 +1, use the definition of the derivative f'(x) = lim (e+h)-}(=) to find f'(x). h0 h O…

A: f(x) is differentiable then  h→0limf(x+h)-f(x)h Here f(x)=2x2+1

Q: Let f(x) = 2x2 +1. Use the limit definition of the derivative to find f'(x).

A: We can find f'(x) Using following formula

Q: If lim f"(x) = +0, then the trapezoid estimation Tn - | f(x)dx x0* can never be within 10-³ of the…

A: Given that limx→0+f''(x)=+∞ And Tn≈∫01f(x)dx Error for trapezoidal method contains double…

Q: Find the limit. lim X→- 47 Vx+ 15 cos (x+ 4x)

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Q: Find the derivative of the function by the limit process. f(x) = −5x

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Q: Find the limits limx→∞(1 + 2x)1/(2 ln x)

A: Given, limx→∞1 + 2x12lnx We know that, limx→ac·fx=c·limx→afx⇒12limx→∞1+2x1lnx Now,…

Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.