Find the value of the limit $\lim _ { x \rightarrow \infty } \frac { e ^ { 2 x } } { e ^ { 2 x } + 1 }$
A)-2
B)1
C)2
D)4
E)-1
F)-3
G)0
H)3

Name: Find the value of the limit $\lim _ { x \rightarrow \infty } \frac { e ^ { 2 x } } { e ^ { 2 x } + 1 }$ A)-2 B)1 C)2 D)4 E)-1 F)-3 G)0 H)3
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As $x$ approaches infinity, both the numerator and denominator of the fraction approach infinity. However, the term $e^{2x}$ in the denominator is dominated by the $e^{2x}$ in the numerator, making the fraction approach 1.

Find the Value of the Limit lim⁡x→∞e2xe2x+1\lim _ { x \rightarrow \infty } \frac { e ^ { 2 x } } { e ^ { 2 x } + 1 }limx→∞​e2x+1e2x​

Find the Value of the Limit $\lim _ { x \rightarrow \infty } \frac { e ^ { 2 x } } { e ^ { 2 x } + 1 }$