5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1 X-1 limit. Explain your thought process.

Q: Evaluate the limit x2 + 20x + 100 lim I→ – 10 x + 10

A: Solution:-      Step:I      Evaluate the limit.       limx→-10          x2+20x+100x+10

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

A:

Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: Find the limit: 2x+60-8 lim x 2 x² + 3x - 10

A: Given query is to find indicated limit

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

A: To determine left hand limit of given function.

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

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

Q: Estimate the value of the Limits 2x 2x lim -3+ x 3 and lim x-3 X-3 |

A:

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

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

A: =?

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Evaluate the dim Y-3 8-9

A: Let  f(x) is a well defined function of x then for constant a and l  , as x approaches to a f(x)…

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

A:

Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

A:

Q: lim(V9x² +x – 3x) Evaluate lim V9x² +x – 3x X00

A: Solve for the limit

Q: Calculate the limit lim 1²+3z-10 H-2

A:

Q: Evaluate: lim – 4x5 – 3x2 + x6 x- 00 A 0 B + 00 c) limit does not exist D 00

A:

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: Evaluate the limit lim x → 00 V8 + 5x? (8+3x)

A:

Q: Evaluate the limit 1 + 9x 3 6x lim エ} C0

A:

Q: Evaluate the limit 10x2 7x +7 lim 2x +7 08.

A: Given query is to find the limit of the expression.

Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

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…