Prove that lim (4x² – 25) = -9. X→2

Q: 5 lim x-6 x + 5

A: Given Limit :           Need to find the value of limit by direct substitution

Q: You are given that a function f is differentiable on (-o, 0), and that lim f'(x) = 6. lim (f(x + 3)…

A: Use the mean value theorem and calculate limit in following way:-

Q: 10- 0+ 10

A: given,

Q: Use the precise definition of a limit to prove the statement: lim v2x – 3 = 1, then find the values…

A:

Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

A:

Q: Prove the limit using epsilon/ delta.

A: To prove the statement by using epsilon, delta definition of a limit is,

Q: 47) lim √√3x-2 x-1 48) lim X->>0 x3 + 12x² - 5x 5x

A: To find the limit of a function f(x) when x approaches k, substitute x= k in f(x)

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: Find the limit analytically

A: Given, limit function is

Q: 1-cos 2x lim 4x

A:

Q: 1/m 12x-141 *ㅋㅋ X-7

A: We have to check the limit of the given function at 7- and 7+

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: lim (x-7x – 2x+5) is infinity. |

A: Topic = Limits

Q: lim(x, y) – (5,9)(÷ ) = ;

A: To show                limx, y→5, 9xy=59 using the epsilon-delta definition of limits. Pre-requisite…

Q: 9. lim t²5t+ 6. 1² 213 i+ t-3 t-3 j+ 1²+ 4t - 21 t-3 k

A: We solve the given problem using the concept of limits.

Q: Find limit x by drawing only

A:

Q: what epsilon and delta mean in the epsilon‐delta definition of the limit.

A: