Question 28 1-x2 Evaluate lim x²– 2x-1 A 1 B None of the given choic

Q: Question 9 sin(ax) Evaluate lim where a< x-0 Xsin(x²)

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Q: Question 3. Construct examples such that lim(p, + qn) limr, + limyn

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Q: Question 5 Finding the limit: lim2 V12x + 3. O 9 O 5 O 3 O 7 O (E)

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Q: :f and the functions fn are all monotone increas- If limn0. fn ing, must f be monotone increasing?…

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Q: Question 1 a. Evaluate. i. ii. i lim X0 (-81+(x-9)21 (16-x2) lim X→-4 16+4x/ lim x→0 3-Vx²+9 2

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Q: Question 010: Complete the following problem involving L'Hospital's Rule Given the following limit…

A: Given,          limx→∞4x+73x2+1

Q: Question 7 of 10 ImaUna Evaluate 2√5x-2-√2x+4 lim

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Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

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Q: Question 8 = 1 and lim,→a g(x) |8(x) If limx→a ƒ(X) = 0 then, we must have limx→a [f»]«® = 1 True…

A: We are authorized to answer one question at a time ,since you have not mentioned which question you…

Q: Question 4 2 i (z-i) lim z?+1 1 O 2i

A: 1 Just use L'Hospitals rule.

Q: Question 1. Evaluate 3-Vx+5 (a) lim X4 x-4 tan 7x (b) lim X0 7

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Q: Problem 7.1.14. (a) Provide a rigorous definition for lim sn # s. (b) Use your definition to show…

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Q: Question 1 3x2 4 lim 1+ Evaluate, if it exists, the following limit:

A: We will find the limit as following.

Q: Question 16 Suppose that b is a constant such that x3 + bx + 2 lim -1 (x – 1)2 l, %3D where l is…

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Q: Question 18 tan(2x) Evaluate: lim x+o 2sin2(x) O a. 0 O b.-1 O C. 00 O d.-00

A: Given query is to find indicated limit.

Q: Question: 3 3- 19-2x+ x² a. Evaluate lim X

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Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

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Q: Question 20 1 Let f(x) According to the definition, 10 4x - f'(r) = lim h 0 (Enter the expression in…

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Q: Question 4.[4, 4 marks] Evaluate the following limits, 1+ x (a) lim [r – a* In(-")I (b) lim(1- 2r)

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Q: a) lim

A: We know that 1/∞ =0

Q: Question 8. Prove that the limit: lim xVa 1.

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Q: Question 4 x3-8 :- If fx)=x-2 If x1. x+1-

A: Given :

Q: Question 1 1 lim z5 X-5 0-

A: To find the limit (x tends to 5) 1/(x-5)

Q: Question 1 Let be (0, 1). Prove rigorously that lim nb" = 0.

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Q: Ex 11.1.1 Compute lim r

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: QUESTION 6 1-Z What is lim = ? i+1 i- 1 2i i-1 1-i

A: We use definition

Q: Question 19 Saved Las(3) = {--2 sor x0 and evaluate the following limit: х — 2 for х<0 lim /(x) x→0-…

A: Given that, fx=x2            for x≥0x-2       for x&lt;0

Q: cos h-1 lim is h O A. 1 O B. -1 OC.O O D. Non existent

A: Option (C) is correct.

Q: Question 21 (x- 1)², x<2 Show that f (x) = { x, 23 x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A)…

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Q: Question 16 3 Points f (x) – f (2) The value of lim if f (x) =2x²+1 X-2 x- 2 А B 4 8 D) does not…

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Q: Question 11 7 Evaluating lim yields an answer of_ x 2 +3 x - 4 x-1- x+3 (A lim (x- 1)(x+ 4) X+1- X-…

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Q: Problem 3: Check by computation that if f(z) = , then lim ZEo+h)-{20) exists for all zo + +i. h→0

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Q: Question 3: Show that 5xy² lim (x,y) (0,0) x² + y² does not exist.

A: To show that- lim(x,y)→(0,0)5xy2x2+y4 does not exist. Here we will find limit along the curve x=y2m…

Q: 4. Sketch the graph of f(x) =Va+3 if r<1 and use it to make a conjecture for the values of %3D 2²-1…

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Q: Question 10 X-2 lim (- x-1 x+4x-3' O A 00 OB. 1 OPNone of the above is correct OD.

A: We have to find the limit.

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Question 19 3x2 – 13x – 10 Evaluate the lim x-5- 2x2 - 7x – 15 (A -13/17 B -17/13 C) 13/17 D None of…

A: Given:limx-&gt;5-3x2-13x-102x2-7x-15if we substitute '5' in the given than…

Q: Question 2 Use the e - 8 definition to prove that lim (x,y,2)→(-1,2,-3) – 4y – 3z = -1. 2.x -

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Q: Question 8 Evaluate: lim-1 (3-22)tan (7). e 3m 01 O None of the choices O e

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Q: 1.1. Find the limit or show that it does not exist. (a) lim (e + 2 cos 3x) (b) lim vx + ax - x2 + Bx…

A: Note:- In given problem, first problem already has two sub-parts. So, according to guidelines, we…

Q: QUESTION 1 Evaluate the limit, if it exists. (If an answer di 4t-3t lim t-o VE-3t + 4tª

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Q: Question 4 2 -Vx+1 The value of lim is the same as x- 3 x+ 3 1 - lim x+ 3 Vx+1 + 4 A B None of the…

A: The given expression is limx→32-x+1x-3.

Q: Question 6 6x2-8x+12 Evaluate lim 2>∞ 13x³ 5x2 5x2-9x-27 6/13 ed Infinity Infinity тer

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Q: Question 18 Suppose that f,g are functions with lim f(r) = 0 and lim (g(r) – rf(r)) = 2021. If…

A: Limit of the rational function

Q: I - 4 Prove that lim vI = 2 using the e-d-definition. Hint: Va - 2 = VT +2

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Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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Q: Question 3 5" + 4" 2021- 5" lim n 00 T

A: we have to find the limit of the given expression