MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Limit of integral of e^(x^n)

1675AdeptCalculus

Olimpiada Naţională de Matematică, Etapa judeţeană şi a municipiului Bucureşti

Compute the limit $\lim _{n \rightarrow \infty} \int_{0}^{1} \mathrm{e}^{x^{n}} \mathrm{~d} x$.
0 students attempted0% solvedRating 1675

Related practice paths

Olympiad-Style PracticeDeep contest practice for proof-style problem solving.How to Qualify for AIMEScore goals, contest choice, and prep habits for AIME hopefuls.How to Review Missed AMC ProblemsTurn missed problems into a repeatable improvement loop.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints5

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions10

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.