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cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
5. Let f(x) = cosx where 0<x< . Find the optimal step size h if the C.D.F of order 0(h) is used to estimate f'(xo).
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
Question 9 2 pts You are given lim f(x) = L and a tolerance ε. Find a number 8 such that (x)-1|< < whenever 0 <br-al<o x-a lim 8x = 32; a = 0.01 X-4 O 0.04 0.01 O 0.00125 O 0.08
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
Vx+1-1 Evaluate: lim x>0 х Please solve it in detail and show all your steps./
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3