Question

&
Expand the function 'Sinx by
Maclaurined theorem​

Answer 1

Step-by-step explanation:

f(x)= sinx

By Maclaurin's : x=a=0

also expansion is:

f(x)= f(0) + x f'(0) + (x^2/2!) f''(0) + (x^3/3!) f'''(0) +...

f(x)= sinx f(0)=0

f'(x)= cosx f'(0)=1

f''(x)= - sinx f''(0)=0

f'''(x)= - cosx f'''(0)= - 1

f(x)=0 + 1 +(x^2/2)(0) +(x^3/3)( -1)+...

= 1 - (x^3)/3...