Question

hi advance question related to definite integral , i know how to do it but just not sure ?

Answer 1

i do know answer for i and ii

Answer 2

what were these results you got for (i) and (ii)?

Answer 3

i is just show that

Answer 4

and ii , I got -1

Answer 5

@ganeshie8

Answer 6

i dunno how to expand it properly

Answer 7

i have done my solution

Answer 8

but not sure

Answer 9

Looks good,
In the last line, maybe just leave the answer in exact form :

\[\dfrac{\lim\limits_{n\to\infty}~~e^{1/n}(1-e)}{\lim\limits_{n\to\infty}~~n(1-e^{1/n)}}=\dfrac{1(1-e)}{-1}=e-1\]

Answer 10

ok thank u appreciate it @ganeshie8

Answer 11

np :)