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(b) (5%) Find a way to calculate with high accuracy values for 1+x-1 f(x)= x Determine limx0 f(x). Hint: Use Taylor series expansions x3

(b) (5%) Find a way to calculate with high accuracy values for 1+x-1 f(x)= x Determine lim, o f(x). Hint: Use

(b) (5%) Find a way to calculate with high accuracy values for 1+x-1 f(x)= x Determine limx0 f(x). Hint: Use Taylor series expansions x3 x5 sin(x) = x - + 3! 5! X- tan(x) = x + + to avoid loss of accuracy in subtraction. 2 x.sin(r) I - tan(x) -2 +... 3 15

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