` f: N to R ` be any function then show that f is continuous on N .

Show that f(x) = sinx is continuous on R .

Any function f:N to R continuous on N.

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(1003) is (1)/(K) . Where K equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(999) is (1)/(K) where K equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 f(1) , f(2) , f(3) , f(4) ,…………. represent a series of

Let f(x) be an even function forall x in R If f(x) is continuous at x = a, prove that it is continuous at x = - a.

Let f be a function defined on R such that f(x + y) = f (x) + f(y) AA x,y in R . If is continuous at x = 0 , Prove that it is continuous on R .

Assertion (A): f(x) = (sin {[ x] pi})/(1 + x^(2)) here [x] denotes greastest integer function, is continuous on R Reason (R) : Every constant function is continuous on R