(1+x)ï=1 g- lim x-0

Q: lim (1-e X-

A: Limiting value of function is the value achieved by function when variable tends to approach certain…

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞…

Q: lim х>1 \x-1 X→1 Inx,

A:

Q: 1+x V1-x sin-1(x) [3] limx-0

A: To evaluate: lim[x→01+x-1-xsin-1(x)] Solution: lim[x→01+x-1-xsin-1(x)] On simplifying further we…

Q: limit as x approaches infinity of (e^x + e^-x)/(e^x - e^-x)

A: Consider the given expression of which limit has to be calculated:

Q: 2. f(2)-1(;) If f(x) = arcsin x, then lim is X- 2

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Q: lim (cos(9x)) (+) x-0+

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Q: 1-cos 2x lim x→0 x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 32. lim x + x - 2 x2 - 1 2,

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Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: Find the limits

A: Given Data The limit is limx→-32-x2-5x+3.   Solve the given limit expression,…

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: x sin(x-1) с) lim х+1 2х2-х-1

A: Solution: The objective is to find the limit value of the given function

Q: (a) lim sih 7x (b) lim x 0 sin 7x x - 9 (c) lim x-9 x - 3

A:

Q: 1 f(x), where f(x) = Find lim x + 10 x→- 10- O A. - 1 O B. ∞ O C. - ∞ D. 0

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Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

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Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

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Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

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Q: x2 – 4, x 3 -

A:

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: 2 lim (x + 1) - (х* + ) x → 0

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Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

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

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: (1 – V3x lim tan- 3 + x x-00

A:

Q: 1 lim x-5 I. Find

A: For x->5^+ , x-5 -> 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: Inx lim X+o x3 lim- x-0 ex - x2 - 1 lim- 0 sin'3x

A:

Q: (d) lim f(x) x-3 g(x) (e) lim [x²f(x)] x-2 (f) f(-1) + lim g(x) x--1

A: Observe the graph on given limits and see the value of function at the given limits and solve the…

Q: xsinx lim x→0 e*+e¯x-2cosx

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

Q: tan (3(x+h))-tan(3x) lim h→0 h

A:

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: 4-V16+h 9. lim x+sin x 12. lim

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: 26.lim(1 + cosx)2secx x 2 27.lim (G– x) tgx 27.lim ( - 2

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: 1-Vx+1 lim x-ol Vx+9-3.

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Q: 2Tan 'x - x 9. lim,0 'x0 2x – Sin 'x

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: (x-x) ーズ) 13. lim EX

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Q: 5) lim f(x) x--2

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Q: 399. [T] lim e(x - 1) x-1 x-1

A:

Q: x |x+1| e) lim X--1 x+1

A:

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: ¶/x x-0 sin (1 /x) Lim

A: To evaluate: limx→∞π/xsin(π/x)

Q: х — 1 lim x→1+ Vx + 2

A: Here we need to find the right hand limit only.To find the required limit substitute the variable…