|
(a) If g(x) = (sin2x)/x2, use your calculator or computer to make a table of approximate values of
for t = 2, 5, 10, 100, 1000, and 10,000. Does it appear that
is convergent?
(b) Use the Comparison Theorem with f(x) = 1/x2 to show that
Is convergent.
(c) Illustrate part (b) by graphing f and g on the same screen for 1 ≤ x ≤ 10. Use your graph to explain intuitively why
is convergent. |
| New search. (Also 1294 free access solutions) |