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Calc 2
Calc2 formulas a common examples
9
Mathematics
Undergraduate 3
04/30/2010
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Term
lim n^1/n
 Definition
1
Term
lim (1+1/n)^n
 Definition
e
Term
lim nsin(1/n)
 Definition
= sin(1/n)/1/n= 1
Term
Taylor series
 Definition
f(x) =Σ (f^n(c))/n! (x-c)^n
Term
mclaurin series
 Definition
f(x)= Σ((f^n(0))/n!)(x)^n
Term
mclaurin of f(x) = 1/1-x
 Definition
Σ x^n
Term
mcluarin of e^x
 Definition
Σ (x^n)/n!
Term
mclaurin of ln(1+x)
 Definition
Σ (-1)^n-1 x^n/n
Term
mclaurin of tan^-1(x)
 Definition
Σ(-1)^n x^2n+1/2n+1
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