What is the limit as x approaches 0+of (tan(6x))^x ?

The limit as x approaches 0+of (tan(6x))^x is 1

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limit as x approaches 0+of (tan(6x))^x

x \to 0 + lim ((tan (6 x))^{x})

1

Solution steps

x \to 0 + lim ((tan (6 x))^{x})

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (6 x))})

Apply the Limit Chain Rule:

1

= 1

\frac{d y}{d x} = x (x - 1)

\frac{d}{d x} (2 - \frac{1}{x})

\int (\frac{1}{ln ( x )} + ln (ln (x))) d x

h \to 2 + lim (e^{\frac{2}{h}})

f (x) = lo g_{7} (x e^{x})

What is the limit as x approaches 0+of (tan(6x))^x ?
The limit as x approaches 0+of (tan(6x))^x is 1