?(a) If \(g(x)=1 /(\sqrt{x}-1\), use a calculator or computer to make a table of
Chapter 7, Problem 56(choose chapter or problem)
(a) If \(g(x)=1 /(\sqrt{x}-1\), use a calculator or computer to make a table of approximate values of \(\int_{2}^{t} g(x) d x\) for , and
Does it appear that \(\int_{2}^{\infty} g(x) d x\) is convergent or divergent?
(b) Use the Comparison Theorem with \(f(x)=1 / \sqrt{x}\) to show that \(\int_{2}^{\infty} g(x) d x\) is divergent.
(c) Illustrate part (b) by graphing and
on the same screen for \(2 \leqslant x \leqslant 20\) . Use your graph to explain intuitively why \(\int_{2}^{\infty} g(x) d x\) is divergent.
Equation Transcription:
⩽
⩽
Text Transcription:
g(x) = 1/(square root x-1)
Integral 2 t g(x)dx
Integral 2 infinity g(x)dx
f(x)=1/square root x
Integral 2 infinity g(x)dx
2 leqslant x leqslant 20
Integral 2 infinity g(x)dx
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer