Math. 69.107GH

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1. Use l'Hopital's Rule to evaluate the limit as x->1/2 of (x - 1/2)*tan(Pi*x)?

0.5

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-1

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2. What is the limit as x->0 of {csc(x) - cot(x)} ?

0

1

This limit does not exist

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3. What is the limit as x->0 of {x + sin(3x)} / {x - sin(3x)} ?

1

-2

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4. What is the limit as x->0 of {cos(mx) - sin(nx)} / 2x, where m,n are integers ?

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m-n

(n^2 - m^2) / 2

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