Type of Discontinuity - removable or irremovable

Types OF discontinuity

Single point continuity , Type OF discontinuity( Removable & Non Removable) ,Differentiability based questions

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)=(4^(x)-e^(x))/(6^(x)-1)" , for "x ne0),(=log((2)/(3))" , for "x =0):}} at x =0 .

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

If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] for x > a and ([cos((pix)/(2a))])/(a-x) for x < a, then a. f(a^-)<0 b. f has a removable discontinuity at x=a c. f has an irremovable discontinuity at x=a d. f(a^+)<0

If f(x)={sin((a-x)/(2))tan[(pi x)/(2a)] for x>a and ([cos((pi x)/(2a))])/(a-x) for x

If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] for x > a and ([cos((pix)/(2a))])/(a-x) for x < a, then a. f(a^-)<0 b. f has a removable discontinuity at x=a c. f has an irremovable discontinuity at x=a d. f(a^+)<0

If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] for x > a and ([cos((pix)/(2a))])/(a-x) for x < a, then f(a^-)<0 b. f has a removable discontinuity at x=a c. f has an irremovable discontinuity at x=a d. f(a^+)<0