What is the limit as x approaches 0+of tan^x(3x) ?

The limit as x approaches 0+of tan^x(3x) is 1

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limit as x approaches 0+of tan^x(3x)

x \to 0 + lim (tan^{x} (3 x))

1

Solution steps

x \to 0 + lim (tan^{x} (3 x))

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (3 x))})

Apply the Limit Chain Rule:

1

= 1

\frac{d y}{d t} = 3 t + \frac{y}{2 t}

\int 4 - y d y

x^{2} + y^{2} = 49

y^{^{''}} + 4 y = 3 sin (2 t), y (0) = 2, y^{^{'}} (0) = - 1

\frac{d}{d x} (\frac{x - 3 x x}{x})

What is the limit as x approaches 0+of tan^x(3x) ?
The limit as x approaches 0+of tan^x(3x) is 1