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Assignment Topic 02: Problem 1 (1 point) Compute the left-hand and right-hand limits of the function y = g(x) illustrated below. = 110 سبح E3 lim g(x) = I 3+2+ lim g(x) = BB === 2+2
Use the graph of y = f(2) below to determine the limits at x = -1, x = 3, x = 4 and x = 10. = 110 15 If the limit is equal to oo, write “inf” or “infinity” (“-inf” or “-infinity”). Otherwise, if the limit does not exist, write "DNE" or "dne". lim f(a) = = -1 lim f(x) = = 19 23 lim f(x) = 3-4 lim f(x) = = BE 210
1 Find limz+5 f(x) for f(x) = +5 by completing the table of values. f(x) f(x) 4 6 4.9 5.1 4.99 5.01 4.999 5.001 = 2-5- lim f(x) lim f(x) = lim f(x) = = 2+5+ = . 3+5
Given lim f(x) = -1 and lim g(x) = 2, evaluate the following: 33 3 lim (5f(x) — 7g(x)) 3+3 lim f(x) · (g(x)) 23 lim 5 ((f(x) + 2)2 – g(x)) = 5 3 :
Evaluate the following limits: 23 + 3x2 + 4x + 2 lim 3+3 x + 1 . : . 2x2 + 9x - 5 lim x+-5 3x2 + 13x 10 : II 4 lim V x + 17 x +1 HH I-TE 3 24 = lim 24 X 4 22 – 16
Evaluate the following limits: 1x + 2– 4 lim 3-6 X + 6 |x – 41 lim x+4 x2 5x +4
Evaluate the following limits: 1 (2-3)(---)) lim ((x – 3) cos 2-3 = 3+ X – 3 lim e(3x sin(V2_x2+2)) = 11 19 : 20
Evaluate the following limits: 4 lim x+3x2 – 2x – 3 2 5 8x + 16 lim x+4 x2 = x2 + x = lim 2+-1 x2 + 2x + 1
Suppose that 2x + 1 = f(x) < 2? + 2 for all z near x = 1. Evaluate the following: lim f(x) = 2+1 f(x) + 5 lim 2+1 3 = 110 111
Determine for which value of c the following limit exists, and determine the value of the limit: lim 2-3 x2 + 5x + c x2 – 9 The limit exists for c= BIU Using this value c, the limit is equal to
Assignment Topic 02: Problem 1 (1 point) Compute the left-hand and right-hand limits of the function y = g(x) illustrate
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Assignment Topic 02: Problem 1 (1 point) Compute the left-hand and right-hand limits of the function y = g(x) illustrate
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