Calculus Examples

$lim_{x \to 1^{+}} \sqrt{2 x}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit under the radical sign.

$\sqrt{lim_{x \to 1^{+}} 2 x}$

Step 1.2

Move the term $2$ outside of the limit because it is constant with respect to $x$ .

$\sqrt{2 lim_{x \to 1^{+}} x}$

Step 2

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$\sqrt{2 \cdot 1}$

Step 3

Multiply $2$ by $1$ .

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$