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Mock Gateway 1

# Mock Gateway 1 - y → 2 3 y-2(e lim s → 5 5 s-5 2(f lim...

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Mock Gateway I (Limits) 1. (20 pts) Find the limits (or write DNE for does not exist) for the function y = f(x) given by the graph: (a) lim x →- 2 f ( x ) (b) lim x →- 1 f ( x ) (c) lim x 1 + f ( x ) (d) lim x 1 - f ( x ) (e) lim x 1 f ( x ) 2. (8 pts) For the function y = f ( x ) defined on the interval [ - 3 , 3] by the graph above, at what values of x in the interval is the function not continuous?

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3. (30 pts) Find the limits. In each case, your answer should be a number, or or -∞ (or DNE). (a) lim x 3 ( x 2 - x + 2) (b) lim x 2 x 2 - 4 x - 2 (c) lim y 2 - 3 y -
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Unformatted text preview: y → 2 + 3 y-2 (e) lim s → 5 5 ( s-5) 2 (f) lim t → 5 t sin 3 t 4. (12 pts) At which values are the following continuous? (a) x 2 + 2 x + 1 (b) 6 y y 2-25 5. (10 pts) Find the limit: lim x →-∞ 1 ( x + 1) 2-2 6. (10 pts) Find the limit: lim u →∞ 3 u 2 + 1 u 2 + 3 7. Give the equations of the horizontal and vertical asymptotes of the given function. You should assume that the x-axis is horizontal. y = 3 x + 1 2-x...
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