Obtain the Taylor's polynomial expansion of the function
f(x)=sinx
about the point
x=(\pi )/(4)
. Show that the error terms tend to zero as
n->\infty
for any real
x
. Hence write the Taylor's series expansion of
f(x)
.

Question

Obtain the Taylor's polynomial expansion of the function

f(x)=sinx

about the point

x=(\pi )/(4)

. Show that the error terms tend to zero as

n->\infty

for any real

x

. Hence write the Taylor's series expansion of

f(x)

.

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