lim f(x) lim f(x) x→3+ lim f(-3+|x|) x→0 lim f(f(x)) x→0 lim f(f(x)) x→2

Q: lim X18 x²/3 + 2x x5/3 - x

A: L=limx→∞x2/3+2xx5/3−x

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: lim f(x) = 8 x→2 then compute the exact value of lim V x + f(x) x→2

A:

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: lim x→∞ 2x/ √ x2 + x

A: Given,          limx→∞2xx2+x

Q: F(x) = {e^ X-3 OLX Find lim F(x) x 70 im f(x) x 70

A:

Q: f(x) = ax² + bx + 3, 1 2bx + 13a f(-2)=1 six −2

A:

Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

A:

Q: Write an example of a function f that satisfies lim f(x) = 2 X→1 x-1

A: Limit.

Q: lim x→−4−  f(x) = (x+5)(x-3)^4                                       ÷…

A: The given limit can be simplified as limx→-4-f(x) = limx→-4-(x+5)(x-3)42(x-3)3(x+4)…

Q: Use for question #1-8 NJ -2 -3 5

A:

Q: f(x)-f(7) B) If f'(7) = 5 then find the lim x+7 Vx - V7

A:

Q: lim (r -2)11/(3-z)

A: Firstly, we take log on both sides and use the result that  log m^n=nlogm.

Q: lim f(x) = x 3

A:

Q: lim

A: Here we have to calculate ,  A=limx→-∞x-x2+7

Q: x² + x - 2 24. f(x) %3D x + 2 lim f(x) (B) lim f(x) (C) lim f(x) (A) x -2"

A:

Q: 2x2-3x+2 Ex(2) Let f(x) , x + 2. Find Lim f (x) x-2 x-2 Solution

A: Topic:- limits

Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

A:

Q: x3+x+2 lim X→-1 X +1

A: Limits

Q: m t(X

A: Given that, fx=x+1 ;   x&lt;3x2 ;       x≥3 We have to find limx→3-fx.

Q: a (a) lim f(x) X-2 (b) lim f(x) X→2

A:

Q: If f(x) = x² then lim f(x) – f(2) = 0 . x – 2

A:

Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

A:

Q: • fax² =lnx-1-1, x² (0, +00) Tim +^ ^²(x) = +001 *7+00 Find Tim X-400 F(x) e+

A: As per the question we are given the following function : f(x) = ln(x) - (1/x) - 1 And f-1(x) is the…

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.