Home
Class 12
MATHS
सिद्ध करें कि निम्नलिखित फलन x=1/2 पर ...

सिद्ध करें कि निम्नलिखित फलन `x=1/2` पर असंतत है ।
`f(x)=1/2 -x`, जब ` 0 lt x lt 1/2`
`=1/2`, जब `x=1/2`
`=3/2 -x`, जब `1/2 lt x lt 1`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

y = cos^(-1)((1-x^2)/(1+x^2)), 0 lt x lt 1 .

y = sin^(-1)((1-x^2)/(1+x^2)), 0 lt x lt 1 .

y = cos^(-1)((2x)/(1+x^2)), -1 lt x lt 1 .

If f(x)=|x-1|+|x-2|+|x-3| when 2 lt x lt 3 is

Discuss the continuity of the function f(x) at x = 1/2 where f(x) = {{:(1/2 + x"," , x le x lt 1/2),(1",", x = 1/2),(3/2 + x,1/2 lt x lt 1):}

y = cos ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1