Calculus Examples

$lim_{x \to 0} 1 + \frac{2}{x^{4}}$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

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

$lim_{x \to 0} 1 + lim_{x \to 0} \frac{2}{x^{4}}$

Step 1.2

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

$1 + lim_{x \to 0} \frac{2}{x^{4}}$

Step 2

Since the numerator is a constant and the denominator approaches $0$ when $x$ approaches $0$ , the fraction $\frac{2}{x^{4}}$ approaches infinity.

$1 + \infty$

Step 3

Infinity plus or minus a number is infinity.

$\infty$