Question 5- Evaluate the limit. V-1 lim l Vx-1

Q: b) Now, follow an algebraic approach to compute the limit 13 – 1 lim 1 I-1 and the limit V9+x– 3 lim

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Q: Evaluate the limit.

A: It is given that, limh→π21-cos3hh   It is known, that if we have limx→af(x)g(x) and after plugging…

Q: Evaluate the limit lim (sin(4x + 5) + 5) - I 00

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Q: 2. x- 4 lim tan(rx)

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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: -1- x +3, if x -2 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

A: Given : fx =-1-x + 3   if x<-23                        if x=-22x+8                if x>-2

Q: Question 10 Find the limit, if it exists Limy-9 (x+9) / (1/x+ 1/9)

A: The given limit is limx→9x+91x+19.

Q: QUESTION 17 f(3 + h) – f(3) , where f(x) = x² + x* Find the limit lim h h+0

A: Given : fx = x2 + x

Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

Q: Find the limit. lim sec x

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Q: 1 Discuss the existence of the limit lim sin x 0 x

A: To determine: The limit

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: Question 5 Use the &-8 definition of limit to show that: ( a ) lim(3–2x)=-7 x→5 (b) lim x•cos-

A: Epsilon and delta definition.

Q: Find the limit. est – 1 lim t-0 sin(t)

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Q: Find the limit or enter DNE if the limit does not ex lim エー10 VI-9-7 エ-58

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Q: Question 4. (a) Find the limit: lim ain(÷).

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Q: Question 196-z Given that f(x)%= VI-14' find lim f(r). (If the limit does not exist, enter DNE.)…

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Q: Evaluate the limit: sinx lim x→0 e4x – 1

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Q: Question 9 > 10 – a – a2 if a 5 - Calculate the following limits. Enter "DNE" if the limit does not…

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Q: sin²t lim t3 t→0

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Q: Question 4 Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary…

A: We need to evaluate limit.

Q: Question 4. (a) Find the limit: (). lim x

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Evaluate the limit.

A: To Evaluate the limit. limh→0 sin h5h We know that, limx→0 sin xx = 1

Q: Find the limit by L'Hospital's rule (whenever app 1 cos(x)-1+x a) lim- 2x4 b) lim

A: Explanation of the answer is as follows

Q: Evaluate the limit: sin(13x) lim I-0 tan(7x)

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

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Q: x+h-Vx 12. lim h

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Q: QUESTION 4 Compute the limit below. Justify your answer. (5x +8h)2-25x2 lim- h

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Q: 1 Find the limit: lim X-I x+1

A: Our Aim is to find limx→(-1)-1x+1 -(i)

Q: e) lim x*十

A: Find the attachment

Q: QUESTION 2 Prove using the definition of a limit that lim x² + y2 -y = 4. >

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Q: Find the Limit et – 1 lim t→0+ t3

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Q: 3. Evaluate the limit if it exists: а. lim 8-0 sin-B b. lim(1+x*)*

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Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

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Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

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Q: Evaluat the limit si a. lim (Itx)"-1-nx ー1-nx x2 メ

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Q: Find the limit. est - 1 lim t-0 sin(t)

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Q: Find the limit of the trigonometric function. lim cos x-7 3

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Q: Find the limit: 1 – cos(x) lim x2

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Q: 1. Show that the limit does not exist. xy? lim (x,y)→(0,0) x² + y4

A: This question is related to limit in two variables.

Q: Find the limit

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Q: х, x 1

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Q: Find the limit. cos 18x lim X-> 5x 8.

A: Topic = Limits

Q: Find the limit. lim 7 sin(x)

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Q: Find the limit. (e-sx cos(^) lim X- 00

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Q: QUESTION 4 f12+h)-f{2) The limit lim Of it exists) equals:

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Q: Find the limit. 1 lim COS x-4 4

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Q: Find the limit. tan(12t) lim t-0 sin(4t)

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