(b) (5%) Find a way to calculate with high accuracy values for 1+x-1 f(x)= x Determine...

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(b) (5%) Find a way to calculate with high accuracy values for √1+x²-1 f(x)= x² Determine limx→0 f(x). Hint: Use Taylor series expansions x3 x5 sin(x) = x - + 3! 5! X-³ tan(x) = x + + to avoid loss of accuracy in subtraction. 2 x².sin(r) I - tan(x) -2³ +... 3 15 (b) (5%) Find a way to calculate with high accuracy values for √1+x²-1 f(x)= x² Determine limx→0 f(x). Hint: Use Taylor series expansions x3 x5 sin(x) = x - + 3! 5! X-³ tan(x) = x + + to avoid loss of accuracy in subtraction. 2 x².sin(r) I - tan(x) -2³ +... 3 15