If `f(x)={[cos(pix/2013),,x>0],[2x+a,,x<=0]}`, Find the values of a if x=0 is a point of local maxima for f(x) .

f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

f(x)={x^(2)|(cos pi)/(x)|,x!=0,x in R,x=0 then f is

The number of points where f(x) is discontinuous in [0,2] where f(x) = { [cos pix ;x<1 , [x-2] ; x>1} where [.] represents G.I.F. is :

If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continuous at x = 0, then the value of k is equal to

Let f(x)={x^(2)|(cos)(pi)/(x)|,x!=0 and 0,x=0,x in R then f is

If f(x)=(1-cos2x)/(x^(2))quad , x!=0 and f(x) is continuous at x=0 ,then f(0)=?

" If "f(x)=|[x,sin x,cos x],[x^(2),tan x,-x^(3)],[2x,sin2x,5x]|" ,then "lim_(x rarr0)(f'(x))/(x)=

Let f(x)={((sin pix)/(5x)",",x ne0),(k"," , x =0):} if f(x) is continuous at x = 0, then k is equal to