What is the limit as x approaches 0+of (tan(7x))^x ?

The limit as x approaches 0+of (tan(7x))^x is 1

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limit as x approaches 0+of (tan(7x))^x

x \to 0 + lim ((tan (7 x))^{x})

1

Solution steps

x \to 0 + lim ((tan (7 x))^{x})

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (7 x))})

Apply the Limit Chain Rule:

1

= 1

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\int \frac{x ^{3} - 3 x + 4}{x} d x

\int_{- 2}^{2} y^{2} - 4 d y

f (x) = 4 cos (2 x)

\frac{d}{d x} (\frac{3}{x - 5})

What is the limit as x approaches 0+of (tan(7x))^x ?
The limit as x approaches 0+of (tan(7x))^x is 1