Find the value of $\displaystyle \lim_{n \to \infty} \int_{0}^{1} nx^n e^{x^2}dx$

Asked Feb 08 '21 at 15:35

Active Feb 08 '21 at 15:35

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I am trying to solve this by using uniform convergence rule for integration but getting nothing , i have solved questions with negative exponential ,because it is easy to find their uniform convergence ,but here i am not getting any idea how to solve this, please give me a hint so that i can try it myself,

Thank you.

asked Feb 08 '21 at 15:35

TheStudent

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Look at (https://math.stackexchange.com/questions/3751785/the-value-of-lim-n-to-infty-int-01nxnex2dx?rq=1) – Chinnapparaj R Feb 08 '21 at 15:38
Thankyou @ChinnapparajR. – TheStudent Feb 08 '21 at 15:39
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I have added an answer to the linked page which is far easier than the other ones presented there. – trancelocation Feb 08 '21 at 15:55

Find the value of $\displaystyle \lim_{n \to \infty} \int_{0}^{1} nx^n e^{x^2}dx$

0 Answers0