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ptest1B - f x = b ax 2 4 x ≤ 2 x a x> 2(Hint You will...

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Name: Practice Test 1B for Calculus I (151K) 1. Evaluate: lim t 5 1 + 3 t - 4 t - 5 . 2. Evaluate: lim t 3 t 2 - 9 2 t 2 - 7 t + 3 . 3. Evaluate the infinite limit. (Determine whether the limit is ±∞ .) (a) lim x π + csc x . (b) lim x →- 2 + 9 - x 2 x + 2 . 4. Evaluate: lim x 1 1 x - 1 x 2 - 1 . 5. Evaluate: lim x 5 x 2 - 2 x - 15 x 2 - 6 x + 5 . 6. Evaluate: lim x →- 2 x 2 + x x 2 + 4 x + 3 . 7. Evaluate: (a) lim x →∞ 9 x 2 + x - 3 x . (b) lim x →∞ x 2 + 2 x 3 + x 2 - 1 . 8. Find the value of a that makes f continuous everywhere.
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Unformatted text preview: f ( x ) = b ax 2 + 4 x ≤ 2 x + a x > 2 (Hint: You will want to take limits ±rom the le±t and right at 2, and compare the results.) 9. Evaluate the derivative o± f ( x ) = x 2 ±rom the defnition. 10. Find the derivative o± f : (a) f ( x ) = √ x ( x-1). (b) f ( x ) = (4 x + 7)(2 x-2)....
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