Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x) 2x2-5x-3 d. lim x-3 X-3

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. xa lim [2f(x) – 4g(x)]

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Q: XY – 2x - lim (x,y)→(0;2) x² + y² – 4y + 4’'

A: Given:

Q: Which of the following limits will be indeterminate/undefined value when direct substitution is…

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Q: х+3if x1 6. lim x→1 f(x) f(x)

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Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: lim (x?y3 – x²y² + 3x + 2y) (x,y)→(2,1) |

A: Solution...

Q: 4.x³+1 d) lim x→-o 2x3+v16x5+1

A: d) limx→-∞4x3+12x3+16x6+1limx→-∞x34+1x32x3+x616+1x6limx→-∞x34+1x32x3+x316+1x6

Q: Q1:B/ Use l'Hôpital's rule to find the limits lim x-1 In x, x-1

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Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

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Q: Eyaluate the following limits 1. lim x->-0 x"(- 2x² +5) x° + x°

A: As per question we solve questions 1

Q: Find the following limits : 1+2 +3+...+x 4) lim X00 x2

A: Ans:  We have to Evaluate  the limit              limx→∞ 1+2+3+‐‐‐+xx2

Q: Determine the following limits by inspection and choose the correct option from those given: x+1 I.…

A: To find the limitsI) limx→ 0x+1x2exII)limx→- 3+2x-1x+36III)limx→∞x-x

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

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Q: Evaluate the following limits х* — 2х +1 lim 1. x→1 x-1 х — бх +8 - 2. lim x→2 х—2 х—1 lim x→l 1- Vx…

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Q: The limit: x - y lim (x,y)→(0,0) x² + y² exists, and equal to 0 Select one: O True O False

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: Find the limits 1 lim x→0 x²/3

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Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2…

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

Q: Find the indicated limit given that lim f(x) = 2 and lim g(x) = 4. X→a lim [5f(x) – 4g(x)] Xa

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Q: Q2/Give a value for each of the following limits: x2 - 4x – 21 1) lim 7 3x2 - 17x – 28 (7+2x)-V5-vZ)…

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Q: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

Q: Evaluate the limits by previous methods or by L'Hospital's Rule, if applicable: a) lim- X- sin x -X…

A: We have to find the limits of the given following conditions

Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

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Q: Find the value of the positive constant c such that....

A: Given- limx→∞x-cx+cx=14 To find- The value of c. Concept Used- If any limit of the function fxgx in…

Q: Q1. Evaluate each of the following limits: 25 x lim x→5 3x-15 a) b) 2-Vx+1 lim x-3 x-2r lim c) (1+x)

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Q: Find the limit. lim x+v - 4 (x, y) -(2, 2) J+y-2 Vx+y - 2 O 2 4 O No limit

A: our objective is to find the limit.

Q: Determine the following limits, using oo or-0o when appropriate, or state that they do not exont…

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Q: 2. Find the following limits algebraically. Then support your conclusion numerically. x² – 3x – 10…

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Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 2. lim V3f(x) + 6g(x)

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Q: xy-y lim - y(-1.2) (x + y + 1)

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: 2. Find the following limits. Do (a) and (b) without a calculator and (c) and (d) with a calculator…

A: We have limx→0x-4x+4=limx→0x-4limx→0x+4=0-44=-42=-2

Q: Find the following limits of x2 – e5a 5а — 1 x 0 (i) lim f(x) (ii) lim f(x) x→0- (iii) lim f(x)

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Q: Q1 find the limit x' -1 lim x –1

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Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: Evaluate f(3 + h) – f(3) lim h-0 where f(x) = 4x + 2. If the limit does not exist enter DNE. Limit =

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

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Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

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Q: Find the limits as x→ o and as x → -oo. y = f(x) = 5x3 – x4 lim f(x) = lim f(x)

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Q: Determine the following limits. x* + 7 lim x + x - x xSo

A: Given: limx→∞x4+7x5+x2-x Now we divide by the highest denominator power we get,…