On-line Math 21

On-line Math 21

3.1  Trigonometric functions

3.1.1  Limits of trig functions

In order to understand the calculus of sin(x) , or any trigonometric function, we first need to find some limits involving trigonometric functions. First, we deal with the limit

lim
x® 0 
sin(x)
x
.

To apply the squeeze principle to this situation, we need to look for functions on either side, to compare it to.1 The picture below shows what we need.

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Footnotes:

1I know, that is a dangling preposition. Too bad. As Winston Churchill once said about such grammatical finery: ``That is the sort of thing, up with which I will not put''.

Copyright (c) 2000 by David L. Johnson.


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On 28 Nov 2000, 16:49.