Calculus Examples

$lim_{x \to 1} e^{0.1 x}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit into the exponent.

$e^{lim_{x \to 1} 0.1 x}$

Step 1.2

Move the term $0.1$ outside of the limit because it is constant with respect to $x$ .

$e^{0.1 lim_{x \to 1} x}$

Step 2

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

$e^{0.1 \cdot 1}$

Step 3

Multiply $0.1$ by $1$ .

$e^{0.1}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$e^{0.1}$

Decimal Form:

$1.10517091 \dots$