Maclaurin Series

Question 1

Okay so why is on (1+x) restricted the way it is

Answer 1

One ir can’t be 0 and less because undefined

And then above 2 it becomes unbounded and is no longer convergent , as ther is no fscotials

Question 2

How to do difficult expansions maybe

Answer 2

Siffernajte ince

Then see if can expand using binomial

Then integrate, but bare in mind there will be a constsnt of integration
Find that out using what f (0) is = to

Question 3

What is LATE rule used for

Answer 3

To determine what u will be

Question 4

Condition for a function ti be expressed as a max Lauri an series

Answer 4

Must be able to if itiely differentiate

And each be evaluated at 0

Thus ln x can’t be shown

Question 5

Sometimes fir Mac series it naughty be a combo of both

Answer 5

But if they keep going on forever, might be better ti use repeated differentiation and standard result