prove that by ( , ) definition

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- Oct 15th 2010, 04:07 AMeq123epsilon delta definition
prove that by ( , ) definition

- Oct 15th 2010, 04:39 AMchisigma
Are well known the trigonometric inequalities...

, (1)

Now deviding each term of (1) by You obtain...

(2)

... and because the first and third term of (2) tends to if , then is...

(3)

With similar procedure You can demonstrate that the same hold for ...

Kind regards

- Oct 15th 2010, 08:46 AMeq123
thank you, but i am trying to prove this limit using epsilon delta definition. the information that you gave me is very helpful if i was trying to prove this limit using the squeezing theorem for example.

in delta epsilon definition, basically we are trying to write the expression as where k is a number. - Oct 16th 2010, 09:26 AMeq123
anybody?