Examination in Mathematics MEI Part 1

Question 1: Given two infinitesimal when

Question 2. Find the limit.

Question 3. Find the limit considered the uncertainty of the form.

Question 4. Using L'Hospital's rule, find the limit.

Question 5. Calculate.

Question 6. Find the partial derivative if, considering the variable and constant.

Question 7: Find the integral:.

Question 8. Find the integral.

Question 9. Find the integral.

Question 10. Calculate the integral:.

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