f(r + h) – f(x) First, find h Preview Next, simplify the numerator. Preview Divide out the h. Preview So now, find the limit f(x + h) – f(x) lim h 0 Previe

Q: Evaluate the limit and the function.

A: Here we take N tends to infinity for finding the limit function

Q: lim x² ln x x-0*

A:

Q: sin ( T cos? x lim- TT COS X X' 2.

A:

Q: sin(r – 3) lim I3 r2 + 2r – 15

A:

Q: eax lim x → 0 In(1+ bx) -ах e

A:

Q: 2) lim f(x), f(x) = 2 x→1+ A f(x) + 1. x < 1 x² - 4x +3, x ≥ 1

A:

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

Q: 6. Evaluate the limit. 1 (7/727 n² (a) lim n² sin n18 sin (0)

A:

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: lim (x,y)→(0,0) COS [y ln(x+1) exy+2

A: The solution is given below

Q: 4x3-3x+1 lim 12x3-8x2-x+1 2

A: Given function is fx=4x3-3x+112x3-8x2-x+1

Q: 1 – cos 3h 39. lim h

A: limh→π21-cos 3hh

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.