Given matrix A, Please help me calculate A^100 by steps, without using Maple or calculators. Thank you so much!

Please help me to prove that the limit of the following function does not exist:

Dear All

Same calculation, but Maple gave 2 different results, when I used 2 different input methods, using palettes and through Maple Tutors, respectively (image). Can someone explain to me the reason?

Dear everyone.

Please suggest me how to choose a suitable function (g(x)) so that the convergence property of the following improper integral can be checked by the comparison method:

Please show me how to enter "positive infinity" value in the dialog box of "Maple Tutors". Thanks!i