Can I get help simplifying these three questions? Thanks!

1 answer:

6 0

1. 3a - 1 + 18 - a

So you can reorder these, as long as they keep the sign in front of them.

3a - a - 1 + 18, you can reorder it to.

And then just add or subtract.

2a + 17

2. (a+3) - (a + 2)

First you want to open the parenthesis.

To do that, check the symbol before the parenthesis.

If it's a minus, reverse the operator inside the parenthesis. If it's a plus, do nothing.

So just,

a + 3 - a - 2

Then reorder again

a - a + 3 - 2

1

3. 43 + a - 2a

Just subtract, a - 2a, to get -a.

So,

43 - a

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6 0

3 years ago

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