If f isa differentiable function satisfying f(0) = 0 and f (0) = 2, then 1- cos( f (x)) lim x-0 A) 0 B) -2 C) 2 D) 1 E) Does not exist

Q: Ql) check the continuity of fX) at X=-1, 0,1.23 -1<x<1 x-4 2x-1, 3x-2 2, x=3 f(x) = 1sxs2 25x53 Q2)…

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Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: for a -1 2x +5 f (x) = If fis the function defined above, then f' (-1) is A -2 B 3. E) nonexistent…

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Q: If f is a function defined from R to R, is given by f(x) = 5x - 3 then f -(x) is given by %3D -- 20…

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Q: 2х f(x) = ,x 1

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Q: Let f(x) = |r|. The derivative of f at a = 0: Question 1. a) Equals to +1 b) There are infinite…

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Q: Show that the function f(z) = sin x cosh y + i cos x sinh y is continuous as well as analytic every…

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Q: -y If u=x² - y² and v= x* +y then A) u is a harmonic function B) v is a harmonic function C) f(z) =…

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Q: Suppose that f is differentiable function at x= 3and f (3) = 0, f (3) =1. Then lim f(h+1)- f(7-h*)…

A: Given x=3 f'3=0 f''3=1 -1limh→2 fh+1-f7-h2h-2200Using L.Hospital rule .limh→2…

Q: The function f(x)%3D (5x)" satisfies f'(c) = 0 for which value of c? 1 a) Ос - 5e b) Oc= 0 c) Oc= 1…

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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.