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: Vx+4-3 2. a. Find limit lim x-5 (x2-6x+5) 5x + 24 if x < -3 if – 3 < x< 4 if x 2 4 b. If f(x) = x2…

A: We can use L'Hopital rule to solve it.

Q: * +3 ,x1 „x>1 g(x) exists? Justify. 1+1 f(x) a) Does lim f(x) + g(x) exists? Justify. b) Does lim

A: Solve the given function

Q: 5. The graph of f (x) is shown below. y (a) lim f(x)= X-1 (b)lim f (x)= (c)lim f(x)= X-1

A: Given Graph of fx

Q: X +5 ×ラン2x?+x メP

A:

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: Find lim f(x). X→-6 lim f(x) = X→-6

A: We need to find limx→-6-fx

Q: x2 dx 81 - x2

A:

Q: Let g(x) and h(X) be functions with lim g (x) = G and lim h (x) = Hwhere G and H are real numbers.…

A:

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: Given the function f(x) = Which f the following is/are true? (x- 1)(x + 1) 1. lim f(x) = +00 2-1+ 2.…

A:

Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

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Q: x² - 6x-8 if x< -1 Evaluate the lim f(x) where f(x) : if x -1

A: Limits of function

Q: f(x)=x-5 x 1. f(5)= 2. lim (x-5) as x->5 = g(x)= x = f(x) 3. g(5)= ²-25 x-5 g(x) 4. lim g(x) as x->5…

A:

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

A:

Q: Evaluation of functions. For each of the following, find the required function. Vx2+9 1. If f(x)…

A:

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)

Q: (3x-7 x21 lim f(x) = 19. (x)= r+4 x<1 %3D

A: 19) The given function is fx=3x-7x≥1x2+4x&lt;1 To find: limx→1-fx