What is the limit as x approaches 0+of (tan(2x))^x ?

The limit as x approaches 0+of (tan(2x))^x is 1

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limit as x approaches 0+of (tan(2x))^x

x \to 0 + lim ((tan (2 x))^{x})

1

Solution steps

x \to 0 + lim ((tan (2 x))^{x})

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (2 x))})

Apply the Limit Chain Rule:

1

= 1

\frac{d}{d x} (1 + x^{3})

\frac{d}{d x} (\frac{9 \cdot f ( x )}{g ( x )})

y = - x e^{x}

\int 4 tan (x) sec (3) (x) d x

f (x) = e^{3 x} cos (6 x)

What is the limit as x approaches 0+of (tan(2x))^x ?
The limit as x approaches 0+of (tan(2x))^x is 1