Use continuity to evaluate the limit. lim 9 sin(x + sin(x))

Q: Evaluate lim sin x.

A: Given: limx→∞sin x

Q: lim2

A: Explained below

Q: Use continuity to evaluate the limit. lim 4 sin(x + sin(x))

A:

Q: lim sin (-2 T x) = x → -3

A:

Q: x² x+0 tan² (x² + 2x) Evaluate: lim

A: The objective of the question is evaluate the limit at "x=0".

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

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

A: limx->9x+3x-9

Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x<0 The limit…

Q: エ→2ー Prove that lim sin(1/x) does not exist. Lot II

A:

Q: 5x + sin x Find lim

A: Here given limit as L=limx→∞5x+sinxx

Q: Vx+5-3 (a) Find lim,4 analytically. X-4 Vx+5-3 -, x * 4 (b) Let f(x) = x-4 13, x = 4 Use the three…

A:

Q: Plot the function f(x) then evaluate lim,-1- f(x) -x - 2 if r -1

A: Given, fx=-x-2       if x<-12                if x=-1x3             if x>-1

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: x* + x² - 1 Find lim XC

A: Please see the explanation below

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

A:

Q: A- Evaluate the following limits: sinx x→0x³+x² ii. lim-

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

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.