Math. 69.107GH

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1. Use l'Hopital's Rule to evaluate the limit of f(x) = (x^3 + 3x^2 + 2x -16) / e^x as x -> inf ?

0

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1

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2. What is the limit as x->0 of (1 + x)^(2/x) ?< (This is "1 + x" all raised to the exponent "2/x")/dt>

0

e^2

This limit does not exist

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3. Find the derivative of the function y = {ln (cos x)}^3 ?

-3 tan(x) (ln(cos(x)))^2

3 (ln(cos(x)))^2

3 sin(x) (ln(cos(x))^2

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4. What is the limit as x->0 of (sin x) (ln (x))^2 ?

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e

0

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