The limit of the sequence $a _ { n } = e ^ { n + 3 }$ is

A)0
B) $\frac { 7 } { 5 }$
C) $\frac { 5 } { 7 }$
D) $- \frac { 5 } { 6 }$
E)$\infty$

Name: The limit of the sequence $a _ { n } = e ^ { n + 3 }$ is A)0 B) $\frac { 7 } { 5 }$ C) $\frac { 5 } { 7 }$ D) $- \frac { 5 } { 6 }$ E)$\infty$
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Question

The limit of the sequence $a _ { n } = e ^ { n + 3 }$ is

A)0
B) $\frac { 7 } { 5 }$
C) $\frac { 5 } { 7 }$
D) $- \frac { 5 } { 6 }$
E)$\infty$

Quizplus · Accepted Answer

The sequence $a_n = e^{n+3}$ grows exponentially as $n$ increases, meaning it will approach infinity, not a finite number.

The Limit of the Sequence an=en+3a _ { n } = e ^ { n + 3 }an​=en+3

The Limit of the Sequence $a _ { n } = e ^ { n + 3 }$