- #1
C.E
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1. Use Taylor's expansion about zero to find approximations as follows. You need
not compute explicitly the finite sums.
(a) sin(1) to within 10^-12; (b) e to within 10^-18:
3. I know that the taylor expansion for e is e=[tex]\sum_{n=1}^{\infty}\frac{1}[/tex]x[tex]^{n}[/tex]/n! and I aslo know that sine has a similar expansion my problem is with how to determine when the sum is in specific tolerence range, any ideas?
not compute explicitly the finite sums.
(a) sin(1) to within 10^-12; (b) e to within 10^-18:
3. I know that the taylor expansion for e is e=[tex]\sum_{n=1}^{\infty}\frac{1}[/tex]x[tex]^{n}[/tex]/n! and I aslo know that sine has a similar expansion my problem is with how to determine when the sum is in specific tolerence range, any ideas?