Evaluate lim x --> 1 [(x^1000)-1]/[x-1]

1 answer:

6 0

Do L'hospital's rule.

 $\lim_{x \to 1} \frac{x^{1000}-1}{x-1}= \lim_{x \to 1} \frac{(x^{1000}-1)'}{(x-1)'}= \lim_{x \to 1} \frac{1000x^{999}}{1}=
\\
\\ \frac{1000\times1^{999}}{1}=\frac{1000}{1}=1000$

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} < - 3"

Allisa [31]

Hey!

Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get $y$ on its own.

Original Equation : 
$\frac{y}{2}$ < $-3$

New Equation {Changed by Multiplying 2 on Both Sides} :
$\frac{2y}{2}$ < $2$ ( $-3$ )

And we simplify the equation to get our answer.

Old Equation :
$\frac{2y}{2}$ < $2$ ( $-3$ )

New Equation {Changed by Simplification} :
y < -6

So, the equation $\frac{y}{2}$ < -3 simplified is y < -6.

Hope this helps!

- Lindsey Frazier ♥

8 0

2 years ago

Help please!!!!!

Sergio [31]

Answer: