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# FP2 Maclaurin series limits watch

1. Can someone help me?
2. (Original post by MathsAstronomy12)
Can someone help me?
Whats do you want help with?
3. (Original post by bigboateng)
Whats do you want help with?
when expanding functions such as ln(1+x) or others, how do you find the intervals for which they are valid?
4. (Original post by MathsAstronomy12)
when expanding functions such as ln(1+x) or others, how do you find the intervals for which they are valid?
This topic is not examinable at any A level board and these intervals are given in the formula booklets.
Their derivation requires knowledge of convergence tests for infinite series, which is usually only taught to mathematicians at Undergraduate level (Analysis)
5. (Original post by TeeEm)
This topic is not examinable at any A level board and these intervals are given in the formula booklets.
Their derivation requires knowledge of convergence tests for infinite series, which is usually only taught to mathematicians at Undergraduate level (Analysis)
Fair enough, cheers. But in many questions it asks for the intervals.

https://8fd9eafbb84fdb32c73d8e44d980...lZweHc/CH6.pdf

exercise c quest 5?
6. (Original post by MathsAstronomy12)
Fair enough, cheers. But in many questions it asks for the intervals.

https://8fd9eafbb84fdb32c73d8e44d980...lZweHc/CH6.pdf

exercise c quest 5?
You look at the expansion of Ln(1 + x) which is valid for -1< x <=1 and you act accordingly
7. (Original post by TeeEm)
You look at the expansion of Ln(1 + x) which is valid for -1< x <=1 and you act accordingly
do limits only apply to ln(1+x) in FP2?
8. (Original post by MathsAstronomy12)
do limits only apply to ln(1+x) in FP2?
look in the standard formula booklet because I do not remember what results are given there.

exponentials, sinx, cosx, sinhx, coshx converge for all x
binomials you should know from C4
9. (Original post by MathsAstronomy12)
Fair enough, cheers. But in many questions it asks for the intervals.

https://8fd9eafbb84fdb32c73d8e44d980...lZweHc/CH6.pdf

exercise c quest 5?
Note that these questions don't actually require you to find the Maclauren series directly, you're just supposed to use a known series (log x). And so you can use the known valid range for log x.

The range for log x will be in the formula booklet.

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