Original post by MathsAstronomy12
Can someone help me?
Whats do you want help with?
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?
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)
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)
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://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/CH6.pdf
exercise c quest 5?
Original post by MathsAstronomy12
Fair enough, cheers. But in many questions it asks for the intervals.
https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/CH6.pdf
exercise c quest 5?
https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/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
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?
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
Original post by MathsAstronomy12
Fair enough, cheers. But in many questions it asks for the intervals.
https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/CH6.pdf
exercise c quest 5?
https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/CH6.pdf
exercise c quest 5?
The range for log x will be in the formula booklet.
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