Find the value of k for which `f(x)={k x+1` when `xlt=picosx` when `x gtpi`

Let f(x)={{:(2x+1,"when "xlt2),(k+2,"when "x=2),(4x-3,"when "xgt2):} Find the value of k for which f (x) is continuous at x = 2 .

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

Find the value of f'(x) when f(x)=|x|(x+|x|)

Find the value of k for which the function f(x)={{:(kx+4,"when " xlepi),(cosx," when " xgtpi):} , is continuous at x=pi .

Find the value of k for which the function f(x)={{:(kx+2 ,"when " xlepi),(cosx," when " xgtpi):} , is continuous at x=pi .

Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on R .

Find the values of k for which f(x)={(1-cos4x)/(8x^(2)),quad when x!=0k,quad when x=0 is continuous at x=0

Find the value of k for which f(x)={(2x+k,0lexle 1),(3x, x>1):}, "" is continuous at x=1

Find the value of k for which the function. f (x) = {{:(((sin x +xcos x))/( x ) , " when " x ne 0 ),( k, " when" x=0 ):} " is continuous at "x=0

Find the value of k for which f(x)={{:((x^(2)-2x-3)/(x+1)",","when",x ne-1, ),(lambda",", "when", x =-1):} is continuous at x =-1