What's (2x) ^3 in expanded notation form?

Mathematics

2 answers:

inessss [21]2 years ago

5 0

Answer:

Step-by-step explanation:

${(2x)}^{3}$

= 2x × 2x × 2x (In expanded notation form) (Ans)

inessss [21]2 years ago

3 0

Answer:

2·2·2·x·x·x

Step-by-step explanation:

(2x)(2x)(2x) = 2·2·2·x·x·x = 8x³

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How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$