Home
Class 12
MATHS
Discuss the continuity of the function f...

Discuss the continuity of the function `f` at `x = 0 and x = 2,` where `f` is given as : `f(x) ={((sin3x)/(sin4x),; -1lt= x lt=0), (3x+3/4,; 0lt x lt2), ((x^2+x-6)/(x-2),; 2lt= x lt=4):}`

Promotional Banner

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f, where f is defined by f(x){{:(3"," if 0 le x le 1),(4"," if 1lt x lt 3 ),(5"," if 3 le x le 10):}

Discuss the continuity of the function f(x) = {{:( (sin x)/x",", if , x lt 0),( (x+1)",", if , x ge 0):}

Discuss the continuity of the function f given by f(x)= {(x",","if " x gt 0),(x^(2)",","if " x lt 0):}

If f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", for " 0 lt x lt pi/2),((cos x)/(pi-2x)", for " pi/2 lt x lt pi):} , then

If f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", for " 0 lt x lt pi/2),((cos x)/(pi-2x)", for " pi/2 lt x lt pi):} , then

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

Discuss the continuity of f(x)={{:(2x=-1,if x le1),(x^(2),if 1 lt x lt 2),(3x-4,if 2lt x lt 4),(x^(3/2),if x ge4):} on R

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=