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

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

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limit as x approaches 0+of (tan(x))/x

x \to 0 + lim (\frac{tan ( x )}{x})

1

Solution steps

x \to 0 + lim (\frac{tan ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 + lim (\frac{sec ^{2} ( x )}{1})

= x \to 0 + lim (\frac{sec ^{2} ( x )}{1})

Plug in the value

x = 0

= \frac{sec ^{2} ( 0 )}{1}

Simplify

\frac{sec ^{2} ( 0 )}{1} : 1

= 1

y^{^{''''}} + 50 y^{^{''}} + 625 y = 0

x \to 3 lim (2 x^{3} - 10 x - 12)

x \to 2 lim (4 + 5 (- 2))

\int 2 sec^{3} (x) d x

\frac{\partial}{\partial x} (\frac{10 x}{36 + x ^{2} + y ^{2}})

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