Using the first three nonzero terms of the Maclaurin series of e^x, the approximated value of e is A) $\frac { 7 } { 12 }$ B) $\frac { 7 } { 16 }$ C) $\frac { 5 } { 3 }$ D) $\frac { 13 } { 15 }$ E) $\frac { 5 } { 2 }$

Question

Quizplus · Accepted Answer

The Maclaurin series for $e^x$ is $1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots$. Substituting $x = 1$ gives the first three nonzero terms as $1 + 1 + \frac{1}{2} = \frac{5}{2}$.

Using the First Three Nonzero Terms of the Maclaurin Series 712\frac { 7 } { 12 }127​

Using the First Three Nonzero Terms of the Maclaurin Series $\frac { 7 } { 12 }$