2. Use e -d of the limit to prove that lim z= 4

Q: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

A:

Q: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

A:

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

A:

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: (b) lim Sx6 x-2 1. Find the limit: x-2

A: The given limit is: limx→2x2-5x+6x-2 To find the value of the limit.

Q: 2. Find the limit of the following function lim (secx- tan x)

A:

Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

A:

Q: Determine whether the limit lim Vx² +1– Vx+1 exists. Please explain your answer.

A:

Q: Weierstrass's definition of limit to show that lim(x² - 4x+5)= 1. X-2

A: Limit of the function

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A:

Q: (a) ze'u lim (x..)(-1,0,4) 6z+ 2y-3z (b) I-4y lim (r,v) (0,0) 7z+ 6y

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.