5. Determine the limit of each of the following functions if they exist: a) lim x-3 x²+2x-15 x² -9 b) lim x-2 3-√√x+11 x+2

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: Find Lim A. 00 C. olo x² - 4x x-00 3x³ + 6x 0 B. 0 D. 2 NI3

A:

Q: lim (6x2 + 8x – 13) x--3

A:

Q: 2x²+3x Evaluate lim,→∞ x3+x+1 O None O O

A: We have to find limit

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: Evaluate the limit: x + 2 lim х — — 2 х2+ 3х + 2 ||

A:

Q: The value of the limit 2-x3 lim x2+3x3 is Select one: -1/3

A: The given expression is limx→∞2-x3x2+3x3

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A:

Q: Evaluate the limit x2 + 8x + 15 lim x → - 3 x + 3

A: =?

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

A:

Q: Q.2 Find the lim, 2x-6|

A: Given, limx→3 2x-6

Q: bx²+18x+2b What is the value of b so that lim exists? x2+x-2 x-1

A: Limit for certain function exists if it returns some real value, and is not indeterminate. In case…

Q: 5x - 4x 2 – 1 lim 10 -x - 9x

A: The solution is given as

Q: Rules of Limits

A:

Q: Evaluate the following limits: lim (x²+x) (3x³+6) lim √²+3+6

A:

Q: Find the limit: (a) lim 3x+9x2-4x+17 5x3-3x-14

A:

Q: Find a real number b such that x²-6x+5 26 lim x-5

A:

Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

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

A: