Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Complex Variables
The first few terms in the Taylor series expansion of the function \(f(x)=sinx\) around \(x=\frac{\pi}4\) are :
1
\(\frac1{\sqrt2}[1+(x-\frac{\pi}4)+\frac1{2!}(x-\frac{\pi}4)^2+\frac1{3!}(x-\frac{\pi}4)^3....]\)
2
\(\frac1{\sqrt2}[1+(x-\frac{\pi}4)-\frac1{2!}(x-\frac{\pi}4)^2-\frac1{3!}(x-\frac{\pi}4)^3....]\)
3
\((x-\frac{\pi}4)-\frac1{3!}(x-\frac{\pi}4)^3....\)
4
\(\frac1{\sqrt2}[1-x+\frac{x^2}{2!}-\frac{x^3}{3!}.....]\)
5
Question Not Attempted