3 years ago

PLEASE PLEASE HELP??!?

1 answer:

4 0

In the case of linear equations, the graph will always be a line. In contrast, a nonlinear equation may look like a parabola if it is of degree 2, a curvy x-shape if it is of degree 3, or any curvy variation thereof. While linear equations are always straight, nonlinear equations often feature curves.

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Please explain how they plugged the removable discontinuity in this question.

kondor19780726 [428]

In the limit

$\displaystyle \lim_{x\to c} f(x)$

we're interested in the value that $f(x)$ converges to as $x$ gets closer to $c$ . So in fact $x\neq c$ .

In the given example, $f(x)$ is factorized to reveal a common factor of $x-1$ in the numerator and denominator. We have $x\neq1$ if $x\to1$ , so $x-1\neq0$ so we can simplify