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

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

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

x \to 8 lim (\frac{x ^{2} - 1}{x - 1})

x \to 0 lim (\frac{3 x + 7}{x})

x \to \infty lim (- ∣ x ∣)

x \to π lim (2 cos (x) + e^{x})

x \to - 3 + lim (\frac{3 + x}{x})

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