What is the limit as x approaches 0+of tan^x(9x) ?

The limit as x approaches 0+of tan^x(9x) is 1

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limit as x approaches 0+of tan^x(9x)

x \to 0 + lim (tan^{x} (9 x))

1

Solution steps

x \to 0 + lim (tan^{x} (9 x))

Apply exponent rules

= x \to 0 + lim (e^{x l n (t a n (9 x))})

Apply the Limit Chain Rule:

1

= 1

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What is the limit as x approaches 0+of tan^x(9x) ?
The limit as x approaches 0+of tan^x(9x) is 1