3 years ago

Square root of 0.0169

Mathematics

2 answers:

DanielleElmas [232]3 years ago

7 0

0.130000000000000

the answer I got

mel-nik [20]3 years ago

6 0

$\sqrt{0.0169}=\sqrt{\dfrac{169}{10000}}=\dfrac{\sqrt{169}}{\sqrt{10000}}=\dfrac{13}{100}=0.13$

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Murrr4er [49]

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8 0

3 years ago

Lim x → 0 sin3x)/5x^3 -4

JulsSmile [24]

$\bf \lim\limits_{x\to 0}\ \cfrac{sin^3(x)}{5x^3}-4
\\ \quad \\\\ \cfrac{sin^3(x)}{5x^3}-4\implies \cfrac{[sin(x)]^3}{5x^3}-4
\\ \quad \\
 

\cfrac{[sin(x)]^3}{x^3}\cdot \cfrac{1}{5}-4
\\ \quad \\
thus
\\ \quad \\
\lim\limits_{x\to 0}\cfrac{[sin(x)]^3}{x^3}\cdot \lim\limits_{x\to 0}\cfrac{1}{5}-4\qquad \boxed{recall \qquad \lim\limits_{x\to 0} \cfrac{sin(x)}{x}\implies 1}
\\ \quad \\
1\cdot \cfrac{1}{5}-4$