MathDB
Problems
Contests
Undergraduate contests
VTRMC
2011 VTRMC
Problem 5
Problem 5
Part of
2011 VTRMC
Problems
(1)
lim(x->∞), exponents problem
Source: VTRMC 2011 P5
5/14/2021
Find
lim
x
→
∞
(
(
2
x
)
1
+
1
2
x
−
x
1
+
1
x
−
x
)
\lim_{x\to\infty}\left((2x)^{1+\frac1{2x}}-x^{1+\frac1x}-x\right)
lim
x
→
∞
(
(
2
x
)
1
+
2
x
1
−
x
1
+
x
1
−
x
)
.
limits
real analysis