1 b. lim ,5 x-0

Q: Find the following: (1) lim *-1 3 X-4 x-4 Ix-21-3 (2) lim X-5 x-5

A: Here we have to find the following given limit value

Q: Q5/B: Evaluate lim (). x→1/2 \4-x²

A: Recall: limx→a f(x) exists and equal to L if and only if limx→a- f(x) =limx→a+f(x) exists and both…

Q: 1 1 x +4 4 lim

A:

Q: -4 lim x2 2-x-2

A: option (d) is correct

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

A:

Q: x* + x? 1 lim

A:

Q: 2. Find lim (√x + 2 = √2).

A:

Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

A:

Q: ロ-4 Find lim エ-4 エ→4-

A: The given limit,limx→4-x-4x-4

Q: 8. Evaluate 4- y lim y+4 2 - ỹ

A:

Q: Find the following: x/3 + 9x/5 i. Lim X0 6x/2 - 4x!/4

A:

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Find Lim x→ o" ( x-0

A:

Q: 0.06 \2n lim,,→ 1000( 1+

A: Apply the constant multiple rule of the limit to simplify the given expression : limn→∞cf(x)    =…

Q: O Find 2- X Lim x→2 오-12X X+2

A:

Q: 1? — х — 12 lim x→3 x² – 9

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

Q: . lima 9(x) = 0 if and only if limx→a g(x) = 0.

A:

Q: 3 x° + y lim (х,у)>(1,-1) х +у

A:

Q: 5. Find lim X00 ex2

A: given , limx→∞x3ex2 we have to find limit of given function

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: Use the definition to show that x2 + x -6 lim = 5. x - 2 4.

A: I have just used the definition of limit

Q: V9 +h - 3 lim h-0 h

A: Given Data: Limit,   First, multiply and divide with (sqrt(9+h))+3 in the expression of limit and…

Q: 10. lim is xーー8 A. 00 C.-1 D. 1 B.

A: Given, limx→-∞2-x2x

Q: b) Evaluate L = lim (2x?

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: Evaluate lim,0 x+1 O 1 O 2

A:

Q: Find the following 1 х — 6 lim 2-4- 4 b lim r-3 27 - r a lim -6 (x – 6)6

A: We have to use l hospitals rule to find limits

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

Q: Find the limits in Exercises 53–54

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: b) lim 5+x5

A:

Q: 7x + 5 If 1(x) = find lim,-o 1(x) 8x + 1'

A: t(x) = 7x+58x+1limx→∞t(x)= limx→∞7x+58x+1taking x common= limx→∞x(7+5x)x(8+1x)= limx→∞7+5x8+1x=…

Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

A:

Q: find Hhe fimih lim 28 X-8

A: Given: limx→8 x-7-1x-8 On applying the limit we get an indeterminate form of type 00

Q: 9) Evawate lim X-3 X→27 x^-x-2

A: Given : limx→2- x-3x2 -x -2   To find : Evaluate the given limits?

Q: 1) Evaluate limT(x²-16) 4)] as X approaches 4

A: A limit is the value that a function approaches as the input approaches some value.

Q: lim 1 0 -1 O 3 0

A:

Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

A:

Q: (3+x)² – 9 - Compute lim

A:

Q: -4 X+X- 6x-5 lim

A:

Q: Find Lim 3e* + 7.

A:

Q: :- 3) lim (x2 – 1 X→1

A: To find the limit of the following function

Q: Find the following: (i) Lim      x^1/3 + 9x^1/5     x→0    6x^1/2 - 4x^1/4 (ii) Lim…

A: i) Since it is in 0/0 form, so we can apply the L'Hospital's rule

Q: 3/25-x² Lim X-4 X+4 t.

A:

Q: 3. Evaluate lim Vh+6-3 h 3 h-3

A:

Q: 1 Find lim x → -5 Va2 +4

A: Given,

Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…