[" Q21.For what value of "k" is the following function continucus at "x=2?],[qquad f(x)={[(2x+1),," if "x<2],[k," if "x=2],[(3x-1),," if "x>2]]

For what value of k is the following function continuous at x=2? f(x)={[2x+1,;,x 2]}

For what value of k is the following function continuous at x=2? f(x)={2x+1; x 2}

For what valueof K is the following function continuous at x = 2 ? f(x)={(2x+1,when x 2):}

For what value of k is the following function continuous at x=2?f(x)={2x+1quad ;quad if quad x

For what value of k is the following function continous at x = 2 ? f(x) = {{:(2x+1"," , x lt 2),(k",", x = 2),(3x - 1, x gt 2):}

For what value of k is the following function continuous at x=2 ? f(x)={2x+1\ \ \ ;\ \ \ if\ x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \k\ \ \ ;\ \ \ x=2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x-1\ \ \ ;\ \ \ x >2

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

f(x)={(x^3+x^2-16 x+20)/((x-2)^2), x!=2k ,k , x=2 . Find the value of k, so that the following function is continuous at x=2.

Answer the following questions: For what value of k the following function would be a p.m.f.? f(x)={(k 1/2^x, "" , (x=0,1,2)),(0, "" , otherwise):} Also find the mean of the distribution.

Find for what values of x the following functions are maximum and minimum : f(x)=x^(2)(x-1)^(3)