3) Evaluate the infinite limits. a) x+1 lim x→1+ x sin éx 1 b) lim x-3-(x-3)5

Q: х+4 a) Compute lim X3 (x-5)(x-3)

A:

Q: f (x) -f (2) The value of lim X-2 if f (x) = 2x2+1 x-2 A 2 B) 4 C 8 D) does not exist

A:

Q: Example 2. Prove that lim f(r) =1 by use of Definition 3, where f is given by - 21 +2 if a 2 f(x) =…

A: Given the proof of limx→2fx=1, where fx=x2-2x+22if x≠22if x=2 Here equation (c) is, fx-1≤32x-2 Also,…

Q: 1. Evaluate. a) lim b) lim x² + 9x-4 x²2x-8 x + 2

A: The solution is shown in step-2

Q: 19) lim (x2 4x - x) +

A:

Q: Determine lim X- • ot s/x 7 Sinx

A: limx→0+5x-7sinx

Q: 11) Evaluate lim (1+ 2x)csc(x).

A:

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: Asap

A: Let's evaluate limits.

Q: 8. (a) Find the first four non-zero terms of the Maclaurin series for e-2z² 1/2 - € С (b) Use the…

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: Find the lim tan ( X-0

A:

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: d) lim (xe”* +1)/ x->0*

A:

Q: 2. Consider f(x)=x² – 4x + 2 a) lim f(x) x-2 b) lim f(x) x-4 c) lim f(x) We X-1

A:

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: Evaluate Lim マ-1 X-1 区 -1

A:

Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

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Q: If f is C2 on an interval prove that f(2 + k) – 2/(2) + {(z =A) = r"(2). - lim h-0 h2 = f"(x). The…

A:

Q: Graph of y = B(t) y = B(1) a) Evaluate lim B(t). t-2+ b) Evaluate 奥B(). →2- c) Evaluate B(2)

A: Topic - value of limit of function From graph Note - as per bartleby Guidelines We are supposed To…

Q: If lim x→0 a) f(x) x = 1 and lim x-0 lim g(x) x→0 g(x) – 2, evaluate: X b) lim x-0 g(x) f(x)

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 7. lim (x2 + 1)i – x

A:

Q: Let f(x) { x2 + 16 if x < -16 and (sqrt(x + 16)) if x >= -16. Find. a) lim f(x) as x…

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Q: ]x - 5| lim 3x-15 x5-

A:

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: 1) Evaluate lim(2x + (x – 3)²). x→3

A: NOTE: Refresh your page if you can't see any equations. . execute the limit by taking x=3