- #1

ver_mathstats

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- Homework Statement
- For what range of x is (e^x-1)/2x=0.5 correct to 15 decimal digits?

- Relevant Equations
- (e^x-1)/2x=0.5

We have e

e

(e

((e

After this, I am unsure of how to proceed to find my error any help would be appreciated thank you. Would we just be trying to isolate x, but that seems incorrect?

^{x}=1 + x + x^{2}/2 + x^{3}/3! + ...e

^{x}- 1 = x + x^{2}/2 + x^{3}/3! + ...(e

^{x}- 1)/(2x) = 0.5 + x/4 + x^{2}/(2⋅3!) + ...((e

^{x}- 1)/(2x)) - 0.5 = + x/4 + x^{2}/(2⋅3!) + ...After this, I am unsure of how to proceed to find my error any help would be appreciated thank you. Would we just be trying to isolate x, but that seems incorrect?