Find the value of the limit $\lim _ { x \rightarrow \infty } x ^ { \frac { 2 } { x } }$ .
A)2
B) $e$
C) $\ln 2$
D)0
E)1
F) $\infty$
G) $\frac { 1 } { 2 }$

H) $\sqrt { 2 }$

Question

Find the value of the limit $\lim _ { x \rightarrow \infty } x ^ { \frac { 2 } { x } }$ .
A)2
B) $e$ 
C) $\ln 2$
D)0
E)1
F) $\infty$
G) $\frac { 1 } { 2 }$

H) $\sqrt { 2 }$

Quizplus · Accepted Answer

As $x$ approaches infinity, $x^{\frac{2}{x}}$ approaches $1$. This is because the exponent $\frac{2}{x}$ approaches $0$, and any non-zero number raised to the power of $0$ equals $1$.

Find the Value of the Limit lim⁡x→∞x2x\lim _ { x \rightarrow \infty } x ^ { \frac { 2 } { x } }limx→∞​xx2​

Find the Value of the Limit $\lim _ { x \rightarrow \infty } x ^ { \frac { 2 } { x } }$