What is the limit as x approaches pi/4 of tan^{tan(2x)}(x) ?

The limit as x approaches pi/4 of tan^{tan(2x)}(x) is 1/e

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limit as x approaches pi/4 of tan^{tan(2x)}(x)

x \to \frac{π}{4} lim (tan^{t a n (2 x)} (x))

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

x \to \frac{π}{4} lim (tan^{t a n (2 x)} (x))

Apply exponent rules

= x \to \frac{π}{4} lim (e^{t a n (2 x) l n (t a n (x))})

Apply the Limit Chain Rule:

\frac{1}{e}

= \frac{1}{e}

f (x) = sin (5 ln (x))

\frac{d v}{d v}

x \to 0 + lim (x^{19 x})

arcsin (6 x) + arccos (6 x)

\frac{d}{d x} (x^{4} - 4 x^{2} + 3)

What is the limit as x approaches pi/4 of tan^{tan(2x)}(x) ?
The limit as x approaches pi/4 of tan^{tan(2x)}(x) is 1/e