In this limit : the denominator is the problem

Calculus Level 2

$\large \lim_{x \to 0} \frac{2}{3x^2} = \ ?$

- \infty

Undefined (No limit exists) 0

\frac{2}{3}

\pm \infty

2 1

\infty

1 solution

Ano Maly
Jul 14, 2015

One way to look at this problem is to think about what is happening to the function as $x$ gets smaller and smaller. As $x$ becomes smaller, so does the denominator. When a denominator becomes smaller, the value of the entire fraction becomes larger. So, as the denominator approaches $0$ , the entire fraction keeps getter larger and larger, tending towards infinity.

In this limit : the denominator is the problem

1 solution

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