Calculus Examples

$lim_{h \to 0} h + 2 x + 1$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $h$ approaches $0$ .

$lim_{h \to 0} h + lim_{h \to 0} 2 x + lim_{h \to 0} 1$

Step 1.2

Evaluate the limit of $2 x$ which is constant as $h$ approaches $0$ .

$lim_{h \to 0} h + 2 x + lim_{h \to 0} 1$

Step 1.3

Evaluate the limit of $1$ which is constant as $h$ approaches $0$ .

$lim_{h \to 0} h + 2 x + 1$

Step 2

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

$0 + 2 x + 1$

Step 3

Add $0$ and $2 x$ .

$2 x + 1$