Calculus Examples

$lim_{x \to 0} f (x) f (0)$

Step 1

Move the term $f (0)$ outside of the limit because it is constant with respect to $x$ .

$f (0) lim_{x \to 0} f (x)$

Step 2

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

$f (0) f (0)$

Step 3

Multiply $f (0) f (0)$ .

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Step 3.1

Raise $f (0)$ to the power of $1$ .

${f (0)}^{1} f (0)$

Step 3.2

Raise $f (0)$ to the power of $1$ .

${f (0)}^{1} {f (0)}^{1}$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${f (0)}^{1 + 1}$

Step 3.4

Add $1$ and $1$ .

${f (0)}^{2}$