Constructing+Taylor+Series+(10.3)

Taylor Series to Know:

math -Have-a-Radius-of-Convergence=\infty- -Have-a-Interval-of-Convergence=(-\infty, \infty)- math

math e^x=\sum_{n=0}^{\infty}x^n/n!=1+x+(x^2/2!)+(x^3/3!)... math

math sinx=\sum_{n=0}^{\infty}(-1^n)[x^(2n+1)]/(2n+1)!=x-(x^3/3!)+(x^5/5!)-(x^7/7!)... math

math cosx=\sum_{n=0}^{\infty}(-1^n)(x^(2n))/(2n)!=1-(x^2/2!)+(x^4/4!)-(x^6/6!)... math

math -Have-a-Radius-of-Convergence=1- -Have-a-Interval-of-Convergence=(-1,1)- math

math 1/(1-x)=\sum_{n=0}^{\infty}(x^n)=1+x+x^2+x^3... math



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