If `f(x)={(a+bx,x<1),(4,x=1),(b-ax,x>1):}` and
`lim_(xrarr1)f(x)=f(1)` , then find the value of a and b.

If f(x)={(a+bx,x 1):} and lim_(xrarr1)f(x)=f(1) , then find the value of a and b.

If f(x)={(x-absx,x 2):} Find lim_(xrarr2)f(x)

Suppose f(x) = { (a+bx , x lt 1),(4 , x = 1), (b - ax , x gt 1) :} and if lim_(x rarr 1) f(x) = f(1) what are the possible values of a and b ?

Evalute lim_(xrarr1)(x^3-1)/(x-1)

if f(x)=x/(x-1) , x!=1 find the inverse of f

Find lim_(x rarr 5) f(x) , where f(x) = |x| -5

lim_(xrarr0)(sqrt(1+x)-1)/x

Evalute lim_(xrarr1)(x^7-1)/(x^4-1)

If f(x)=3x^(2)-7x+5 , then lim_(xrarr0)(f(x)-f(0))/(x) is equal to