Discuss the conjinuity of the functions at the points shown against them. If a function is discontinuous, determine whether the discontinuity is removable. In this case, redefine the function, so that it becomes continuous :
`{:(F(x)(4^(x)-e^(x))/(6^(x)-1)",for"x ne0),(=log((2)/(3))",for" x =0):}}at x =0.`

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=((3^(sinx)-1)^(2))/(x log(1+x))",","for" x ne0),(=2log3",", "for" x=0):}}at x=0.

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=(e^(5x)-e^(2x))/(sin3x)",", "for" x ne0),(=1",", "for" x=0):}}at x=0.

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=(x^(2)-4x)/(sqrt(x^(2)+9)-5)",","for" x ne4),(=3",", "for"x=4):}}at x =4.

Discuss the conjinuity of the functions at the points shown against them. If a function is discontinuous, determine whether the discontinuity is removable. In this case, redefine the function, so that it becomes continuous : f(x)=log(100(0.01+x))/(3x), {:("for"x ne0),(",""for"x=0):}}at=0. =100/3

Discuss the continuity of the functions at the points shown against them . If a function is discontinuous , determine whether the discontinuity is removable . In this case , redefine the function , so that it becomes continuous : {:(f(x)=xsin(1/x)" , for "x ne0),(=0" , for "x=0):}} at x=0

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x) =(log(2+x)-log(2-x))/(tanx)",","for" xne0),(=1",","for" x=0):}}at x=0.

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=(1-cos 3x)/(x tan x)",","for" x ne0),(=9",","for" x=0):}}at x=0.

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)=(logx-log7)/(x-7)",","for" x ne7),(=7",","for" x=7):}}at x=7.

Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : {:(f(x)sin x-cosx",", "for"x ne0),(=-1",","for"x=0):}}at x=0.