Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

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A: We have to find the limit of given function when x approach 0.

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A: Given limit: limx→012x+1tan2x3sin3x

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

A:

Q: lim Sin (x-B) XB (x-B)

A:

Q: sin4x lim x→0+ 5x 6. Find the one-sided limit (if it exists).

A:

Q: Find the limits sin (sinx) lim

A: limx→0sinsinxx

Q: tan x B:: Find limx-0

A: Limit of the function

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A: x →-1+ means on the right side of x=-1 From the graph, we see that as the graph approaches -1 from…

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

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…

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Q: f(x, b) – f(a, b) fe(a, b) = lim x - a OTrue False

A: Given a limit : fxa,b=limx→a f(x,b)-f(a,b)x-a We need to find it it's true or false. Let's begin.

Q: 1f. lim (tanx)x x->0+

A: Given,

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: Give the function f(x) = ₁ Evaluate the one-side

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Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

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

A: