Question

i. Explain why this definite integral is an improper integral.

ii. Determine if this improper integral converges or diverges. Be sure to treat the improper integral with appropriate mathematical rigour. Simply treating the improper integral as if it was a proper integral will result in zero marks. Furthermore, make sure you clearly explain/justify each step in your limit analysis working.

thanks for your answer, please give a clear writing.

(b) Consider the definite integral 2 1 i. Explain why this definite integral is an improper integral ii. Determine if this improper integral converges or diverges. Be sure to treat the improper integral with appropriate mathematical rigour. Simply treating the improper integral as if it was a proper integral will result in zero marks. Furthermore, make sure you clearly explain/justify each step in your limit analysis working.

Answer 1

R
b-at xbecomesbounded Somehere ahith bees Heneven (x) = e erse deLim'' ternt 2axaL .rs Imh6ber.. .. Int an 1/2

n te 0 on e' dr behave 4like je bsth div 2/2
ate please...