Find the period of the following functio...

Find the period of the following functions:
`f(x)=sum_(r=1)^(n)(sin(x/2^(r-1))+tan(x/2^(r)))`

AI Generated Solution

FUNCTION
FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|20 Videos
FUNCTION
FIITJEE|Exercise EXERCISES|43 Videos
FUNCTION
FIITJEE|Exercise NUMERICAL BASED|3 Videos
ELLIPSE
FIITJEE|Exercise NUMERICAL BASED|4 Videos
HEIGHTS & DISTANCE
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

sum_(r=1)^(n)tan((x)/(2^(r)))sec((x)/(2^(r-1)));r,n in N

Find the period of f(x)=sin x+tan(x)/(2)+sin(x)/(2^(2))+tan(x)/(2^(3))+...+sin(x)/(2^(n-1))+tan(x)/(2^(n))

lim_(x rarr2)(sum_(r=1)^(n)x^(r)-sum_(r=1)^(n)2^(r))/(x-2)

If x^(2)+x+1=0 then sum_(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

If x^(2)+x+1=0 then find the value of sum_(r=1)^(27)(x^(r)+(1)/(x^(r)))^(2)

The range of the function f(x)=tan^(-1)((x^(2)+1)/(x^(2)+sqrt(3)))x in R is

Prove that sum_(r=0)^(n)C_(r)sin rx cos(n-r)x=2^(n-1)sin(nx)

Let f:R rarr R and g:R rarr R be two functions such that (gof)(x)=sin^(2)x and (fog)(x)=sin(x^(2)) Find f(x) and g(x)

If quad f(x)=lim_(n rarr oo)sum_(r=0)^(n)(tan((x)/(2^(r+1)))+tan^(3)((x)/(2^(r+1))))/(1-tan^(2)((x)/(2^(r+1)))) then lim_(x rarr0)(f(x))/(x) is

If f(x)=tan x+tan^(2)x tan2x and g(n)=sum_(r=0)^(n)f(2^(r)) and l=g(2015)-tan(2^(201) then