1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a. lim I-2 x+2 V16-x-4 b. lim

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

A:

Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

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: Evaluate the limit x2 + 13x + 36 lim I +9

A:

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Evaluate the following Limit: 4x2 lim x-0V16+2x2-4 A- 10 B- 12 C- 0 D- 16

A: Please see the solution below

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 the limitsof: lim 34 メ+34 -V34 メしe

A:

Q: Evaluate the limit: 2x + 16 – 4 lim 7x

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: lim 3x+9x2-4x+17 5x3-3x-14 004-2

A: limx→∞3x3+9x2-4x+175x3-3x-14

Q: Evaluate the limit: lim (6x47x)= I→ 2 =

A:

Q: Evaluate the limit: lim x-0 √6x +9-3 X ||

A:

Q: Determine the limit: 14x – 52 13 - x lim X- 13-

A:

Q: Evaluate Hhe following Limit lim 43+2)2-9n-18 n3-9K

A:

Q: Q5:-Evaluate the following limits 3x-3x2+5x-9 1. lim, Tx 43x3

A:

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…