Evaluate the following limits after identifying the indeterminate form. Use Hospital's rule.

Question

d) lim x_0+ (xe^(2x) + 1)^(5/x)

e) lim x_(Pi/2)+ (1 + sec3x)^(cot3x)

Thank you!

Answer 1

the 0+ and (Pi/2)+ mean the limit is higher then and not + the fonction