how do i prove lim (x^2) * (cos(1/x)) = 0

as x approaches 0

please can you list the steps

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- October 4th 2012, 03:21 PMubhuttolimit help please!!
how do i prove lim (x^2) * (cos(1/x)) = 0

as x approaches 0

please can you list the steps - October 4th 2012, 03:49 PMjohnsomeoneRe: limit help please!!
Note that cos(1/x) is bounded, no matter how rapidly it oscilates when x is near 0. Then apply the squeeze theorem.

- October 4th 2012, 05:48 PMProve ItRe: limit help please!!
- October 5th 2012, 09:20 AMubhuttoRe: limit help please!!
ok then how do i prove it on a 10 point free response question. can someone please list out the steps so that i can understand for future tests because i only got 3/10 for this question on the test

- October 5th 2012, 09:36 AMPlatoRe: limit help please!!