What is the limit as x approaches 0+of tan^x(5x) ?

The limit as x approaches 0+of tan^x(5x) is 1

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limit as x approaches 0+of tan^x(5x)

x \to 0 + lim (tan^{x} (5 x))

1

Solution steps

x \to 0 + lim (tan^{x} (5 x))

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (5 x))})

Apply the Limit Chain Rule:

1

= 1

x y^{^{'}} + (1 - x) y = 1

\int e^{\frac{x ^{2}}{2}} x d x

x \to \infty lim (x \cdot e^{- \frac{x}{2}})

y = 4 - x^{2}, y = x^{2} - 4

\frac{d}{d x} (C x e^{4 x})

What is the limit as x approaches 0+of tan^x(5x) ?
The limit as x approaches 0+of tan^x(5x) is 1