2 years ago

What's the inequality for 15x + 21 ≥ 120

Mathematics

1 answer:

Andrei [34K]2 years ago

5 0

X>= 6.6 is your answer

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge

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Answer:

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = $\lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |21x^{1}|$

now,

for convergence R|x| < 1

Therefore,

$\lim_{n \to \infty} |21x^{1}|$ < 1

$-\frac{1}{21}$

and,

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

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What's the inequality for 15x + 21 ≥ 120​

What's the inequality for 15x + 21 ≥ 120