Lebl-Basic-Analysis-I · Problem 6.1.2

Sequences of Functions

Mathematics · pointwise-uniform-convergence

Problem

a) Find the pointwise limit

\dfrac{e^{x/n}}{n}

for

x \in \mathbb{R}

. b) Is the limit uniform on

\mathbb{R}

? c) Is the limit uniform on

[0,1]