What is the limit as x approaches-pi/4 of e^{tan(x)} ?

The limit as x approaches-pi/4 of e^{tan(x)} is 1/e

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limit as x approaches-pi/4 of e^{tan(x)}

x \to - \frac{π}{4} lim (e^{t a n (x)})

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

x \to - \frac{π}{4} lim (e^{t a n (x)})

Plug in the value

x = - \frac{π}{4}

= e^{t a n (- \frac{π}{4})}

Simplify

e^{t a n (- \frac{π}{4})} : \frac{1}{e}

= \frac{1}{e}

x \to 0 lim (\frac{5 ^{x} - 6 ^{x}}{x})

x \to 1 + lim (\frac{x}{1 - x})

x \to 0 + lim (x ∣ x ∣)

x \to 0 lim (\frac{8}{x})

x \to - \infty lim (2 (x))

What is the limit as x approaches-pi/4 of e^{tan(x)} ?
The limit as x approaches-pi/4 of e^{tan(x)} is 1/e