Let `f(x) =ax+1, x<1; 3, x=1; bx^2+1, x>3` For what values of a and b is f(x) continuous at x=1

Let f(x)=ax+1,x For what values of a and b is f(x) continuous at x=1

Let f(x) = {(ax+1, x lt 1), (3, x=1), (bx^2+1, x gt 1):} . For what values of a and b is f(x) continuous at x = 1 ?

Let f(x)={(sin ax^(2))/(x^(2));x!=0 and (3)/(4)+(1)/(4a);x=0 For what value of a,f(x) is continuous at x=0?

Let f(x)={x+1 if x 1 for what a will the function f(x) be continuous?

If f(x)={3ax+b if x>1, 11 if x=1 , 5ax-2b,if x<1.Determinethe values of a and b so that f(x) is continuous.

Let f(x)={1, x =1 . Then, f is (a) continuous at x=-1 (b) differentiable at x=-1 (c) everywhere continuous (d) everywhere differentiable

Let f(x)=(log(1+(x)/(a))-log(1-(x)/(b)))/(x),x!=0 Find the value of f at x=0 so that f becomes continuous at x=0,x!=0

Let f(x)=(log(1+(x)/(a))-log(1-(x)/(b)))/(x),x!=0 Find the value of f at x=0 so that f becomes continuous at x=0 .