`lim_(x-gt1)f(x),w h e r ef(x)={x^2-1, xlt=1-x^2-1, x gt1`

Find (lim)_(x->1)f(x),""w h e r e""f(x)=[x^2-1, xlt=1-x^2-1, x >1

Find (lim)_(x->1)f(x) ,where f(x)={(x^2-1, xlt=1),(-x^2-1, x >1):}

Find lim_(x to 1) f(x) if f(x)={:{(x^2-1,x le1),(x^2+1, x gt1):}

Find lim_(xrarr0)f(x)a n d(lim)_(x->1)f(x),""""w h e r e""""f(x)=[2x+3, xlt=0 3(x+1), x >0

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4

Evaluate lim_(x rarr 1) where f(x) = {(x^2 - 1, x le 1),( -x^2 - 1 , x gt 1) :}

Calculate lim_(x to 0) f(x) , where f(x) = (1)/(x^(2)) for x gt 0

Calculate lim_(x to 0) f(x) , where f(x) = (1)/(x^(2)) for x gt 0

lim_(x->-1)1/(sqrt(|x|-{-x}))(w h e r e{x} denotes the fractional part of (x) ) is equal to (a)does not exist (b) 1 (c) oo (d) 1/2