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Single Variable Calculus

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Linear Approximation of Exponential Function

SVCALC-14OCXG

Determine the linear approximation for $f(x)=e^{1/2-x}$ at $x=0$.

A

$\sqrt(e)+\frac{\sqrt(e)}{4}x$

B

$\sqrt-\frac{\sqrt(e)}{4}x$

C

$-\sqrt(e)+\frac{\sqrt(e)}{4}$.