Use l'Hôpital's rule to find the following limit. 1 In (x-3) lim X→4+ lim X→4* 1 X-4 1 1 (x-4-In (x-3)) = (Type an integer or a simplified fraction.)

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: Evaluate the limit: lim 3z4 – 8z = - %3D Z - 1

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: 2x a. lim x-+3" X - 3

A: limit

Q: Find Lim as attached. f(x) = 3x2 + 1

A:

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: 4- determine (32x' lim X→00 7x3

A: