2 years ago

Say a random useless fact

2 answers:

3 0

Answer:

We believe in improving school management through service and technology, and we’ve never lost sight of our goal — to help schools, administrators, teachers, and families solve the unique challenges they face.

Step-by-step explanation:

defon2 years ago

3 0

Answer:

pneumonoultramicroscopicsilicovolcanoconiosis is a lung disease

Step-by-step explanation:

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aleksandrvk [35]

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3 years ago

Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if

Alborosie

$\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}$

$\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0$

$\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1$

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3 years ago

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