[x] +x 3. lim х--1 х+ 2

Q: e* – 1 lim V1+x -1 x→0

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Q: 5. Evaluate lim sin(x)-(x² +3x– e*). 1-0

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Q: 1-cos(0) lim 02 e-0 1 lim (1 + x)a x-0 If f (x) is continuous at a, then what is the value of lim…

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Q: 2) lim (x – T)tan5

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Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: |1-x*| 5. lim X-o x(x+1) II

A: Here we solve limits.

Q: 6. Find the limit of f(x) = -- 10 as x approaches co and as x approaches - c lim f(x) = X00 (Type a…

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Q: 1-coskx 2. lim kx = 0.

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Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x

A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…

Q: b. lim cos(x)-1 x2

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Q: 1. Evaluate the ff. limits: -1 (e*). V1 – e2¤ sin' 2 lim (а) x→0- - 1 - (b) lim x + sin

A: Explanation of the answer is as follows

Q: Q.1 Evaluate the limit x-3 sin2x 1) lim(2x2 +x + 1) 2) lim 2-9 3) lim x-1 x-3 x2-x+1 4) lim x+00…

A: We have to find limit

Q: for e5x – x³ x 0 (i) lim h(x) (ii) lim h(x) (iii) x→0- x→0+ lim h(x)

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Q: lim +h)-f(x) h→0 >- f(x) = v5x + 1 when x %3D h 5

A: Given:  fx=5x+1x>-15 To Find:  limh→0 fx+h-fxh=?

Q: f(x+h)- f(x) lim where f(x)=4- 2x-x h

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Q: 1 - e7x lim 5x -0.1 -.01 -0.001 0.001 0.01 0.1 f(x)

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Q: Discuss the continuity of the function.

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Q: 3.lf limT(x--1) [(x^3+x^2-ax)] =1-a, then a= O a. 1. O b. 0. C. -1. O d. 1/2. 4-The equation…

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Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: x[e² 1] Compute lim- x→0 1- coS X

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Q: lim,- S(x), given S(x) = {7-4x, x<1 {x +2 x21 %3D

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Q: I if X > 4 and J (X). 4X + 1 i1 X<4. Find lim f(x) x→4+

A: Given; f(x)=√x-1 if x&gt;4 and f(x)=x2-4x+1 if x&lt;4.

Q: 1-cos (x-m) lim

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Q: Зx +3x+5 х +2 1-cos.x (а). lim (b). lim

A: To evaluate the limit, limx→∞3x3+3x+5x3+2, plugin the limit and obtain the indeterminate form of the…

Q: 2х + 1 29. lim x² – x X→-∞ - sin 2x 31. lim

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Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: lim x→0 g(x) , where ((1-cos(x))/x) <g(x)<.5e^x-.5 for all x on [− 2 2, ].

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Q: x 1 What is lim f(x)? x→-1 O 3 O 4 O 2

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Q: 1 1 V13+x 3 h. lim X→0 X + 4

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Q: e – e-* lim I-0 x2 + 3T

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Q: (c) lim 1 In x x→0+

A: To find out the limit

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

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Q: |x| lim e* +- + x2 X→0-

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Q: x2 -x-2 lim n) 2 x2- 2x X-2 x +5 lim X2 x-3 (o

A: according to a guideline we should have been able to do only one question at a time #n #o

Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Q: (x+h)³-x³ lim h→0 h. sin(3w) lim w-0 2w sin(h)(1-cos(h)) lim

A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0

Q: Lim Cos t X-2SM X2

A: limx→2cosπxx-2sinπx

Q: lim f(x), where f(x) X-2 S11 2x if x < 2 if x 2 2

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Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: b. lim -3 where c is some fixed real number. +x+c-2 x>e

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Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

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Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: 1. lim (x2 + 2x -3) オ→4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) lim (x2 + 2x - 3) D Xー→4

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Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: (p- [d) lim xn x→-0

A: In this question, the concept of limit is applied. Limit The limit formula is employed to calculate…

Q: 1. Prove using e-d definition. (d) lim (4x + 3) = 7 x→1 x2 – 9 = 6 - (e) lim x→3 x – 3

A: To prove the limit using epsilon-delta definition

Q: lim aVx + 3 – b = 1, x - 1 Score А. 4 E. 1 В. 2 С. 1 4 -IN-IA

A: We can make it easier for you.