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# C4 Binomial series watch

1. Cheeky little question in a textbook seems to be a style of questions i simply can't comprehend,

obtain the first 4 terms of the expansion:

( 1 + (x/100) )^1/2

hence estimate the value of (102)^1/2

I have got the terms correctly but can't get the estimate. I tried putting x = 10100 which gives 1 + 101 but that conflicts with the validity of the expansion (-100 < x < 100).

2. (Original post by B.Carmine)
Cheeky little question in a textbook seems to be a style of questions i simply can't comprehend,

obtain the first 4 terms of the expansion:

( 1 + (x/100) )^1/2

hence estimate the value of (102)^1/2

I have got the terms correctly but can't get the estimate. I tried putting x = 10100 which gives 1 + 101 but that conflicts with the validity of the expansion (-100 < x < 100).

Hint 1: if x = 2, then it's not far off what you want right? Think about it.
Hint 2:
Spoiler:
Show
It's off by a certain factor no?
3. (Original post by B.Carmine)
Cheeky little question in a textbook seems to be a style of questions i simply can't comprehend,

obtain the first 4 terms of the expansion:

( 1 + (x/100) )^1/2

hence estimate the value of (102)^1/2

I have got the terms correctly but can't get the estimate. I tried putting x = 10100 which gives 1 + 101 but that conflicts with the validity of the expansion (-100 < x < 100).

Sub to get
4. Ah ok, so these questions are a matter of playing with the expression. Ok, thankyou both!

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