`f(x)={(x+1,; xlt1), (2x-3,; xgeq1):}`, evaluate `lim_(x rarr 1)f(x).`

If fthe function f(x) satisfies lim_(x rarr 1) (f(x) - 2)/(x^2 - 1) = pi , evaluate lim_(x rarr 1) f(x).

If the function f(x) satisfies lim_(x rarr 1) (f(x)-2)/(x^(2)-1) = pi , evaluate lim_(x rarr 1) f(x)

If the function f(x) satisfies lim_(x rarr 1)(f(x)-2)/(x^2-1)=pi , evaluate lim_(x rarr 1) f(x) .

If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,xle1):} then the value of lim_(x->1) f(g(x)) is

If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,xle1):} then the value of lim_(x->1) f(g(x)) is

If f(x)=(1)/(x), evaluate lim_(h rarr0)(f(x+h)-f(x))/(h)

If f(x)={(3x-1),x>=1,(2x+3),x =2} then lim_(x rarr2)f(g(x))=

Let f(x)={{:(a+bx","xlt1),(4","x=1),(b-ax","xgt1):} and if lim_(xto1)f(x)=f(1) what are the 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?