Calculus Examples

$\frac{lim_{t \to 0} \sin (k) t}{t}$

Step 1

Move the term $\sin (k)$ outside of the limit because it is constant with respect to $t$ .

$\frac{\sin (k) lim_{t \to 0} t}{t}$

Step 2

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

$\frac{\sin (k) \cdot 0}{t}$

Step 3

Simplify the answer.

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Step 3.1

Multiply $\sin (k)$ by $0$ .

$\frac{0}{t}$

Step 3.2

Divide $0$ by $t$ .

$0$