2-/x+1 The value of lim is the same as X- 3 X+3 1 - lim x+3 Vx+1+4 A 1 (B В lim x+3 Vx+1+4 1 c) lim x+3 Vx+1 +2 1 (D - lim

Q: z2-2z+4 i) Find lim Z→1+v31 Z-1-v3i ii) z4-1 Find lim Z--i Z+i

A: The general form of a complex number is given by z=a+ib, wherea,b are two real numbers and i=-1. The…

Q: lim x--> negative 0.      f(x) lim x--> 4.      f(x) lim x--> positive 0.      f(x) lim x--> 2.…

A:

Q: lim (x² + 4x) 2. X→-4

A:

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

A:

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: lim x---2, x2 - 4/x - 2

A: We have to find the limit: limx→2x2-4x-2 This is 00 indeterminate form of the limit. Rewriting the…

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: Calculus Question

A: Option e is false .  Please rate helpful and feel free to ask any query about any part.

Q: LIMITS lim f(x) ахт + ... lim x→0 bx" +... X00 х3 — 2х2 + 3х — 4 lim х3 — 2х2 + 3х — 4 lim х-00 4x3…

A:

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: limx--->2^-     f(x), where f(x)=2x-5 if x <2…

A: limx-&gt;a- f(x) = limh-&gt;0 f(a-h)

Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim…

A: Ghj

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: 25 using a table of - 3. Evaluate lim x→25 Va – 5 - functional values.

A: We have to evaluate the given limit: limx→25x-25x-5 Since given limit has 00 indeterminate form so…

Q: 1 а. x→2+ lim Væ(x – 2) 1 b. lim Væ(x – 2) x→2- 1 с. lim x→2 /x(x Væ(x – 2) С.

A:

Q: lim x-0+ \x 1 = lim x2, 1 lim x0+ x2 1 = +0 - (+0) = 0 - - - -- %3D x-0+ x

A: It is infinity minus infinity type of indeterminate form.    To solve it first convert it into 0/0…

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

A:

Q: V2x2 — х — 1 — Vx — 1 - - - lim x→1 32 - x3 + х — Vx2 +x O A) 2 В) 1 C) none O D) -1 O E) -4

A: we have to evaluate the following limit . For this we can use rationalisation

Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

A:

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: iz° + 1 lim z→-i\ z2 +1 ' z--i

A: To evaluate:

Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

A:

Q: 5-V4+3s lims→7 7-s

A:

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: x² - 2x Only one of these calculations is correct to evaluate the limit lim - x--0 x2 - sinx Select…

A: We have to find out the limit of the function. We can apply the l'Hospital rule if limit is in 0/0…

Q: x- t00 x2 25 x2 = lim x - to (x2 – 25)/x² lim = lim x → t0 x2 - 25 25/x2 1 %3D II

A: In this question we will use basic of calculus i.e concept of limits. As given in question that we…

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: ス→5 XヌX +10 O lim (2-h) -S O lim 4-x X-02 3-Vx45 Al X+8 lim VX -2 O lim x +5-V5 X→y X-9ン メ>ト メーやース…

A: Now , we will find the value of limit  .

Q: 47. lim -4 3x-5x +7 8+2x-5x 2-2 48, lim 49. lim

A: we have to solve given problem;

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: Find the limit

A: Since, we have to evaluate the function given below:-limx→0 2+x-2x-(i)Since, on applying limit in…

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: 3. lim- im:-) (x+r)²

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Q: Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

A:

Q: f(4) = f(0) = f(-3) = lim,-2+ f(x) =, limx-2- f (x) = lim,-3+ f(x) = limy-3- f (x) = = limy-4 f(x) =…

A:

Q: arctan(x2) lim x8 lim a In(x) = X→0+

A:

Q: lim f(x)=3 x-->5- and lim f(x)=1 x-->5+

A:

Q: 2 -z+1-i Prove that lim =1- :l+i z- 2z+2 2

A: solution is given below

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A: