`lim_(x->0)(f(x))/(x^2)=1` find `(i)lim_(x->0)f(x)(ii)lim_(x->0)(f(x))/x`

If lim_(x rarr-2)(f(x))/(x^(2))=1, find (i)lim_(x rarr-2)f(x);(ii)lim_(x rarr-2)(f(x))/(x)

If lim_(x rarr-2)(f(x))/(x^(2))=1, find (i)lim_(x rarr-2)f(x) and (ii) lim_(x rarr-2)(f(x))/(x)

Let lim_(x rarr0)(f(x))/(x)=1 and lim_(x rarr0)(x(1+p cos x)-q sin x)/((f(x))^(3))=1 then

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

The graph of y = f(x) is as shown in the following figure. Find the following values (i) f(-3)" "(ii) f(-2)" "(iii) f(0) (iv) f(2)" "(v) f(3)" "(vi) lim_(x to -3) f(x) (vii) lim_(x to 0) f(x)" "(viii)lim_(x to 2) f(x)" "(ix) lim_(x to 3) f(x) (x) lim_(x to 2^(-)) f(x)" "(x i)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

The graph of y = f(x) is as shown in the following figure. Find the following values (i) f(-3)" "(ii) f(-2)" "(iii) f(0) (iv) f(2)" "(v) f(3)" "(vi) lim_(x to -3) f(x) (vii) lim_(x to 0) f(x)" "(viii)lim_(x to 2) f(x)" "(ix) lim_(x to 3) f(x) (x) lim_(x to 2^(-)) f(x)" "(xi)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

The graph of y = f(x) is as shown in the following figure. Find the following values (i) f(-3)" "(ii) f(-2)" "(iii) f(0) (iv) f(2)" "(v) f(3)" "(vi) lim_(x to -3) f(x) (vii) lim_(x to 0) f(x)" "(viii)lim_(x to 2) f(x)" "(ix) lim_(x to 3) f(x) (x) lim_(x to 2^(-)) f(x)" "(xi)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

Given lim_(x rarr0)(f(x))/(x^(2))=2 then lim_(x rarr0)[f(x)]=

If alpha in(0,1) and f:R->R and lim_(x->oo)f(x)=0,lim_(x->oo)(f(x)-f(alphax))/x=0, then lim_(x->oo)f(x)/x=lambda where 2lambda+7 is