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Question #19260

Find the Taylor polynomials of degree n approximating
2/(3−3x)
for x near 0:
For n=3, P3(x)=
For n=5, P5(x)=
For n=7, P7(x)=

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**1.**The function f(x) is approximated near x=0 by the second degree Taylor polynomial P2(x)=1−**2.**Find a linear approximation of the function f(x)= cube root(1+x) at a=0, and use it to approximate t**3.**Find the linearization L(x) of the function f(x)=1/(1+2x)^4 at a=0**4.**Find the linearization L(x) of the function f(x)=x^4−x^2+2 at x=1.**5.**Find the second-degree Taylor polynomial for f(x)=2x2−8x+6 about x=0. P2(x)=**6.**Find a linear approximation of the function f(x)=1/(1+2x)^4 at a=0.**7.**Find a linear approximation of the function f(x)=3rdsqrt(1+x) at a=0, and use it to approximate the

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