Problem

PART 1: Fill in the blanks.

• Work need not be shown, only answers will be graded.

• 4 points for each blank and 100 points total.

• Each answer need to be clearly labeled on the answer sheet.

• Use of any device with computer algebra system during the exam will result in zero points.

12. The 3rd nonzero term of the Mclaurin series of the function

$$f(x)= \begin{cases} \csc x-\cot x, & x\ne 0 \\ 0, & x=0 \end{cases}$$

is $\underline{\quad(16)\quad}$.