What is the limit as x approaches 0+of tan^x(4x) ?

The limit as x approaches 0+of tan^x(4x) is 1

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limit as x approaches 0+of tan^x(4x)

x \to 0 + lim (tan^{x} (4 x))

1

Solution steps

x \to 0 + lim (tan^{x} (4 x))

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (4 x))})

Apply the Limit Chain Rule:

1

= 1

\int tan^{2} (x) + 1 d x

ln (1 + cos (x))

2 y y^{^{'}} = x (y^{2} + 1), y (2) = 0

f (x) = x^{4} cos (x)

\int e^{- 2 x} d x

What is the limit as x approaches 0+of tan^x(4x) ?
The limit as x approaches 0+of tan^x(4x) is 1