What is the limit as x approaches 0+of 1+x^{5tan(x)} ?

The limit as x approaches 0+of 1+x^{5tan(x)} is 2

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limit as x approaches 0+of 1+x^{5tan(x)}

x \to 0 + lim (1 + x^{5 t a n (x)})

2

Solution steps

x \to 0 + lim (1 + x^{5 t a n (x)})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (1) + x \to 0 + lim (x^{5 t a n (x)})

x \to 0 + lim (1) = 1

x \to 0 + lim (x^{5 t a n (x)}) = 1

= 1 + 1

Simplify

= 2

\frac{t}{t ^{2} + 4}

\int e^{x} - 2 d x

\int_{0}^{3} x^{5} e^{x^{3}} d x

\int_{0}^{l n (3)} \frac{3}{e ^{x} + 4} d x

\frac{d y}{d x} + 2 y = e^{x}

What is the limit as x approaches 0+of 1+x^{5tan(x)} ?
The limit as x approaches 0+of 1+x^{5tan(x)} is 2