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Determine the Taylor series for the function
f(x)=sinhx centered at x=0.f(x)=\sinh x ~\text{ centered at }~ x=0.f(x)=sinhx centered at x=0.
f(x)=coshx centered at x=0.f(x)=\cosh x ~\text{ centered at }~ x=0.f(x)=coshx centered at x=0.
f(x)=ex2 centered at x=0.f(x)=e^{x^2} ~\text{ centered at }~ x=0.f(x)=ex2 centered at x=0.
f(x)=1(1−x)2 centered at x=0 for ∣x∣<1.f(x)=\frac{1}{(1 - x)^2} ~\text{ centered at }~ x=0 ~\text{ for }~ \left |x \right |<1.f(x)=(1−x)21 centered at x=0 for ∣x∣<1.
f(x)=sinx2 centered at x=0.f(x)=\sin{x^2} ~\text{ centered at }~ x=0.f(x)=sinx2 centered at x=0.
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