2. 1. 0 -2 -3 -4 [f(x) lim x-1* g(x) lim[f (x) + g(x)] lim[f (x)g(x)] X-2 x-4 on the state the limits. 5. are the of f (x) (on the and g(x) (on the Based

Q: X +5 ×ラン2x?+x メP

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Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

A:

Q: . Let (x2 + 1 f(x) = 1( - 2)² if x> 1 if x<1 (a) Find lim,-I- f(x) and lim,→* f(x). (b) Does lim ,1…

A: Given: For (a),     limx→1- f(x)=limx→1 x2+1=12+1=2 and     limx→1+ f(x)=limx→1 x-22=(-1)2 =1

Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: You are given two functions, f and g if - 21-

A: We have to find out

Q: Expand the function p (z + h) as follows. p (z + h) = V(w+h)²–1 Substitute the function p (z + h) in…

A: They are solving derivative for v=1w2-1

Q: Let f(x) = x² - 4x-21 X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→7 X-0 X→-3

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Q: lim f(x) = 8 lim f(x) = -4 f(-6) = 5 I→-6- z-6+ lim f(x) = 2 lim f(x) = 8 f(5) = 4 z+5+ lim g(x) = 6…

A: Given  functions f(x) and g(x)