Calculus Examples

$\frac{lim_{x \to 0} x}{\sin (6 x)}$

Step 1

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\frac{0}{\sin (6 x)}$

Step 2

Simplify the answer.

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Step 2.1

Separate fractions.

$\frac{0}{1} \cdot \frac{1}{\sin (6 x)}$

Step 2.2

Convert from $\frac{1}{\sin (6 x)}$ to $\csc (6 x)$ .

$\frac{0}{1} \csc (6 x)$

Step 2.3

Divide $0$ by $1$ .

$0 \csc (6 x)$

Step 2.4

Multiply $0$ by $\csc (6 x)$ .

$0$