" Q.28If "lim_(x rarr c)(f(x)-f(c))/(x-c)" exists finitely,then "

If (lim)_(x rarr c)(f(x)-f(c))/(x-c) exists finitely,write the value of (lim)_(x rarr c)f(x)

. If lim_(x->c) (f(x)-f(c))/(x-c) exists finitely, then1) limf(x) = f(c) 2) limf (x) = f(c)3) limf(x) does not exist4) limf(x) may or may not exist

If (lim)_(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of (lim)_(x->c)f(x) .

If lim_(x rarr a)((f(x))/(g(x))) exists,then

Write the value of (lim)_(x rarr c)(f(x)-f(c))/(x-c)

If both Lim_(xrarrc^(-))f(x) and Lim_(xrarrc^(+))f(x) exist finitely and are equal, then the function f is said to have removable discontinuity at x=c . If both the limits i.e. Lim_(xrarrc^(-))f(x) and Lim_(xrarrc^(+))f(x) exist finitely and are not equal, then the function f is said to have non-removable discontinuity at x=c . Which of the following function not defined at x=0 has removable discontinuity at the origin?

If both Lim_(xrarrc^(-))f(x) and Lim_(xrarrc^(+))f(x) exist finitely and are equal, then the function f is said to have removable discontinuity at x=c . If both the limits i.e. Lim_(xrarrc^(-))f(x) and Lim_(xrarrc^(+))f(x) exist finitely and are not equal, then the function f is said to have non-removable discontinuity at x=c . Which of the following function not defined at x=0 has removable discontinuity at the origin?

If f(x)=int(tan^(3)x-x tan^(2)x)dx Where f(0)=0 and lim_(x rarr0)(f(x))/(x^(m)) is non-zero finite then m=

1.if lim_(x rarr a)f(x) and lim_(x rarr a)g(x) both exist,then lim_(x rarr a){f(x)g(x)} exists.2. If lim_(x rarr a){f(x)g(x)} exists,then both lim_(x rarr a)f(x) and lim_(x rarr a)g(x) exist.Which of the above statements is/are correct?

It is given that f^(')(a) exists, then lim_(x rarr a) (x f(a) - a f(x))/(x-a) is equal to