Let `f(x)={:{(x^(2)-1",",xle1),(-x^(2)-1",",xgt1.):} "Find"lim_(xrarr1)f(x).`

Let f(x)={{:(5x-4",",0ltxle1),(4x^(3)-3x",",1ltxlt2.):} Find lim_(xrarr1)f(x).

Let f(x)={{:(1+x^(2)",",0lexle1),(2-x",",xgt1.):} Show that lim_(xrarr0)f(x) does not exist.

Let f(x){:{(2x+3",",xle0),(3(x+1)",",xgt0.):} Find (i) lim_(xrarr0)f(x)" "(ii)lim_(xrarr1)f(x)

Suppose f(x)={{:(a+bx",",xlt1),(4",",x=1),(b-ax",",xgt1):} and if lim_(xrarr1)f(x)=f(1) what are possible values of a and b?

Suppose f(x)={{:(a+bx",",xlt1),(4",",x-1),(b-ax",",xgt1):} and if lim_(xrarr1)f(x)=f(1) what are possible values of a and b?

Suppose f(x)={{:(a+bx",",xlt1),(4",",x-1),(b-ax",",xgt1):} and if lim_(xrarr1)f(x)=f(1) what are possible values of a and b?

If f(x)={{:(2x^(2)+1",",xle1),(4x^(3)-1",",xgt1):} , then int_(0)^(2)f(x)dx is

Let f(x)={{:(4x-5",",xle2),(x-a",",xgt2.):} If lim_(xrarr2)f(x) exists then find the value of a.