Calculus Examples

$lim_{x \to 1} 2 {(1.001)}^{2} - 1$

Step 1

Evaluate the limit of $2 {(1.001)}^{2} - 1$ which is constant as $x$ approaches $1$ .

$2 {(1.001)}^{2} - 1$

Step 2

Simplify the answer.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $1.001$ to the power of $2$ .

$2 \cdot 1.002001 - 1$

Step 2.1.2

Multiply $2$ by $1.002001$ .

$2.004002 - 1$

Step 2.2

Subtract $1$ from $2.004002$ .

$1.004002$