Home
Class 11
MATHS
Let f(x) denote the sum of the infinite ...

Let f(x) denote the sum of the infinite trigonometric series
`f(x)=underset(n=1)overset(y)Sigma sin (2x)/(3^(n)) sin (x)/(3^(n))`
find f(x) (independent of n ) also evaluate the sum of the solutions of the equation f(x)=0 lying in the interval (0,629)

Promotional Banner

Similar Questions

Explore conceptually related problems

if f(x)=lim_(n rarr oo)(2)/(n^(2))(sum_(k=1)^(n)kx)((3^(nx)-1)/(3^(nx)+1)) wheren in N, then find the sum of all the solution of the equation f(x)=|x^(2)-2|

If f(x)=(a-x^n)^(1/n) then find f(f(x))

If f_(1)(x)=|x|-2| and f_(2)(x)=|f_(n-1)(x) for all n>=2,n in N, then number of solution of the equation f_(2015)(x)=2 is

Let f(x)=sin((x)/(n!))+cos((2x)/((n+1)!)) Find the period of f(x)

Let f (x= sin ^(6) ((x )/(4)) + cos ^(6) ((x)/(4)). If f ^(n) (x) denotes n ^(th) derivative of f evaluated at x. Then which of the following hold ?

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr -oo)("Lim") f(x)

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr 0)("Lim")f(x)

Let f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous at