Can you answer C? Problem 2:Short AnswerDirections: Answer the questions below and explain your responses. Correct responses with little to no reasoningor explanations that rely on technology will earn no credit. Correct responses with incomplete explanations will notreceive full credit.Evaluate see (z) tan(x) dr.А.(-1)k+1 . 2kВ.For this problem, you may use the fact that the Taylor series for In(1 + 2x²) isi.Approximate In(1.8) by using the fourth order Taylor polynomial for In(1+ 2r²) centered at r = 0.Explain whether you think the 24-th order Taylor polynomial would give a better or worseii.approximation for In(1.8) than the fourth order polynomial. Your explanation should reference facts aboutTaylor series; you may not simply calculate In(1.8) and both approximations.r²y – y?C.Morgan, Avery, and Taylor are asked to evaluate the limitlim(z.v)=(2,4) r - y2r²y – y? _ 0(z.y)=(2,4) xª - y²• Morgan writes limBased on this, Morgan concludes that the limit does not exist.r²y – y? _ 0 – y², *y – y?_ 0 –0rª – y?• Avery notes that along a = 0,= 1 and that along y= 0,- 0. Avery%3D1ª – y?0 – y?concludes that the limit does not exist.r*y – y?4 – y?concludes that the limit exists and is equal to 1.mr³ – m²x²r4 – m²x²mr - m2%3Dr2 - m2 and as r 0,mr - m?r² – m²• Taylor notes that along y = mr,+ 1. Taylor%3!² – m²Determine which students, if any, provided a correct response. If a student did not provide a correct response,make sure to explain what error (or errors) they made. If none of the students are correct, calculate the limitcorrectly, or explain why it does not exist.

Question

Accepted Answer

Answered: Image /qna-images/answer/217f16e5-f173-4adf-9322-fa284b332463.jpg