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Find the limit of $\frac{5x}{\tan\left(x\right)}$ as $x$ approaches $0$

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Derivatives of trigonometric functions

The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if ${f(x) = tan(x)}$, then ${f'(x) = sec^2(x)\cdot D_x(x)}$

$\frac{d}{dx}\left(\tan\left(x\right)\right)=\sec\left(x\right)^2\frac{d}{dx}\left(x\right)$

Basic Derivatives

· Derivative of the linear function

The derivative of the linear function is equal to $1$

$\frac{d}{dx}\left(x\right)=1$
$\lim_{x\to0}\left(\frac{5x}{\tan\left(x\right)}\right)$

Main topic:

Limits

Related formulas:

2. See formulas

Time to solve it:

~ 0.02 seconds

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