f(x)+7 Find lim x→-2 e3x+6 – 1

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A: To evaluate limx,y→0,0xy2-exy-1 Substitute t=xy, then as x,y tends to 0,0 implies t tends to 0.…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Topic:- Limit  Limit at X ---->3 is does not exist.

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A: Given: L=limx→4∫4xt2et2dtx2-16 For evaluating given limit, we use L hospital's rule According to L…

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A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

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A: To calculate the given limit: limx,y→0,0x−4y6y+7x

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

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Q: Vx +1- 2 (c) lim x→3 X – 3 2e-* +3 (d) lim 3e* +2 00-X

A: Topic:- application of derivatives and calculus

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A: To evaluate limy→0(πy(e2πy−1)+πy−12y2) Rewrite the given expression:…

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Q: Find the limits in Exercise

A: limx22-1x

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A: limx,y→0,0x-4y6y+7x Take the path y=mx, then as x→0, y→0 limx→ox-4mx6mx+7x limx→ox1-4mx6m+7…

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A: 4. limx->42-xx2-8x+16

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A: The series expansion of ex is ex=1+x1!+x22!+x33!+x44!+...

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A: Since, we have been given up the expression:-limx→0 x sin (x)ex+e-x-2 cos (x)-(i)Since,on applying…

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A: Let  S  be an open set containing  (x0,y0) , and let  f  be a function of two variables defined on…

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A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

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Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: -Sx-2x+4 d. lim x-9x+1 e. lim xo 3x2-2x-15 x249 f. lim 0 2x+2x2-3

A: Limit   If a constant number is decided by infinity then it will tend to zero .

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

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A: Consider the limit limx→0x3−11xx5x+11

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

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A: Given: limx→0e2x-1x, limx→-2y2-y-6y2-4, limx→9x-31x-19 We know that limx→0ekx-1kx=1…

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Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

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A:

Q: steps: -x*-5x lim arctan 4+3x2-2. V1+4x6 b. lim lim (V9x2 + 2x + 3x) С.

A: Solving by limit theorem we have