ptpmonitor

Our calculus teacher recently started doing limit maths using delta-epsilon method. But this method seems really complex to me and I think this method has some problem. i think sometimes we agree with un-logical decisions in order to find out the result.

The method start with this,

|f(x)-L|<epsilon if 0<|x-a|<delta,

finally we bring,

|x-a|<epsilon/k if 0<|x-a|<delta,

and tell:

so, delta=epsilon/k

Can we tell delta=epsilon/k? Specially when it is un-equality? My madam gave some answer but that was not logical also. She told in order to find out result, we need to agree with it.

Can anyone explain this method?

The method start with this,

|f(x)-L|<epsilon if 0<|x-a|<delta,

finally we bring,

|x-a|<epsilon/k if 0<|x-a|<delta,

and tell:

so, delta=epsilon/k

Can we tell delta=epsilon/k? Specially when it is un-equality? My madam gave some answer but that was not logical also. She told in order to find out result, we need to agree with it.

Can anyone explain this method?