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Use lhopitals rule to evaluate the limit

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Reference no: EM13901628

Question 1- Use L'Hopital's Rule to evaluate the limit:

a) limx→∞(x tan (3/x))

b) limx→ 0+(1+(3/x))x

Question 2- Evaluate the improper integral (or state "divergent"). Justify your answer completely.

a) 1∫∞ x·e-3x dx

b) -1∫1 (1/3√x) dx

Question 3- Use partial fraction to integrate:

∫(4x2 - x + 12/x3 + 4x)dx

Reference no: EM13901628

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