How do I prove that integral e^((x^2020)/n))dx where the lim n tends to infinity and the boundaries of the integral is from 0 to 2019

Question

How do I do this??

Answer 1

They want me to show that it is equal to 2019

But I don't know how?

Answer 2

as n→∞, (x^2020)/n → 0
lim ∫ = ∫ lim
so, as n→∞ you have ∫[0,2019] e^0 dx = x[0,2019] = 2019

Answer 3

Thank you sir