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

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

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

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

1

Solution steps

x \to 0 + lim (tan^{x} (2 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{\partial}{\partial z} (2 z e^{x yz})

9 y^{^{''}} + 48 y^{^{'}} + 64 y = 0

f^{^{'}} (x) = - x

\frac{d}{d x} ((arctan (9 x))^{2})

\frac{d}{d t} (a cos (10 t) + b sin (10 t))

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