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Problem Set 03s

# 1 x 5 hung nguyen problem

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Unformatted text preview: function is continuous from the left at x = 1 . All these points are jump discontinuities. lim g ( x) = lim− 2 − x = 0 x →2 − x →2 and lim g ( x) = lim+ x − 2 = 0 2. Find constant a and b so that given function is continuous for all x : x →2 + x →2 Therefore, the limit exits. So g ( x) is continuous on the interval [- 5, 5] x>5 ⎧ྏ ax + 3 ⎪ྏ f ( x) = ⎨ྏ 8 x = 5 ⎪ྏ x 2 + bx + 1 x < 5 ⎩ྏ Solution: For f ( x) to be continuous, the limit exists at x = 5 . 1 x →5 Hung Nguyen Problem Set 03 Solution GE 207C 2.5 Continuity/ Intermediate Value Theorem 2.6 Limits at Infinity / Horizontal Asymptotes 4. Functions f and g are defined on (10, 10) by their respective graphs in 5. Determine the limit, if it exists. Find all values of x...
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