---------- Forwarded message ----------
From: Adam Boocher <aboocher@gmail.com>
Date: Wed, Oct 2, 2013 at 2:03 PM
Subject: Re: Test
To: CAROLINE RACHEL SISCHO <carolinesischo@berkeley.edu>
From: Adam Boocher <aboocher@gmail.com>
Date: Wed, Oct 2, 2013 at 2:03 PM
Subject: Re: Test
To: CAROLINE RACHEL SISCHO <carolinesischo@berkeley.edu>
First: This course has not taught trig functions, yet - so there's no need to worry about them.
Secondly: How do you compute the derivative of sin(x) in order to use l'hopital's rule? I bet you know it's cosine, but the proof of the fact that the derivative of sine is equal to cosine actually relies on the fact that lim (sin x/x) = 1. (So usually l'hopital to do this is kind of cheating in my book.)
Finally: The way you would compute this limit is using the squeeze theorem (which is too advanced for 16A) : It's kind of hard to explain in email, but here's a few pages that talk about it:
There's also a 15 minute youtube video that came up on a google search. I have no idea if it's good or not.
But it's probably better for the midterm to just forget about this stuff :) If you want to know sometime, come to office hours.
-Adam
On Wed, Oct 2, 2013 at 1:49 PM, CAROLINE RACHEL SISCHO <carolinesischo@berkeley.edu> wrote:
Then how would I solve the problem: limit as x approaches zero of sin (x)/x without using le hopitals rule? Thank you.Caroline
On Wednesday, October 2, 2013, Adam Boocher wrote:That is true. Only chapter one techniques. You shouldn't need l'hopital's though...On Wed, Oct 2, 2013 at 1:45 PM, CAROLINE RACHEL SISCHO <carolinesischo@berkeley.edu> wrote:
Hi Adam,Someone just told me we cannot use l'hopitals rule on the test. Just want to confirm this is true. Thank you.Caroline
