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

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

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

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

tan (1)

Decimal Notation

1.55740 \dots

Solution steps

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

Apply the Limit Chain Rule:

tan (1)

= tan (1)

8 π r^{2}

\int sin (6 x) sin (2 x) d x

y^{^{''}} + 6 y^{^{'}} + 8 y = 0

\int x^{- 4} + x^{\frac{1}{3}} d x

s (t) = 3 t + 1

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