Q3 of 48 Page 345

Prove that

ƒ(x) =is continuous at x=3


LHL: =


= [By middle term splitting]


=


= 5


RHL: =


= [By middle term splitting]


=


= 5


f(3) = 5


Since, = f(3)


f is continuous at x=3.


More from this chapter

All 48 →
1

Show that ƒ(x) = x2 is continues at x=2.

 2

Show that ƒ(x) = (x2+3x+4) is continuous at x=1.

 4

Prove that

ƒ(x) = is continuous at x=5


 5

Prove that

ƒ(x) = is discontinuous at x=0