Write the value of `lim_(x->c)(f(x)-f(c))/(x-c)`.

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

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

If f(x) is differentiable at x=c , then write the value of (lim)_(x->c)f(x) .

If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of lim_(x->a)(g(x)f(a)-g(a)f(x))/(x-a) is (a) -5 (b) 1/5 (c) 5 (d) none of these

If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of lim_(x->a)(g(x)f(a)-g(a)f(x))/(x-a) is (a) -5 (b) 1/5 (c) 5 (d) none of these

If f(a)=2,g(a)=-1,f'(a)=1, g'(a)=2 then the value of lim_(x->0) (f(x).g(a)-f(a).g(x))/(x-a)= (a) 5 (b) -5 (c) -6 (d) non of these

If f(x) is differentiable and strictly increasing function, then the value of ("lim")_(xvec0)(f(x^2)-f(x))/(f(x)-f(0)) is 1 (b) 0 (c) -1 (d) 2

If f(x) is differentiable and strictly increasing function, then the value of ("lim")_(xvec0)(f(x^2)-f(x))/(f(x)-f(0)) is 1 (b) 0 (c) -1 (d) 2

If f(1)=1,f^(prime)(1)=2, then write the value of lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)

If f(x) is differentiable and strictly increasing function,then the value of lim_(x rarr0)(f(x^(2))-f(x))/(f(x)-f(0)) is 1 (b) 0(c)-1 (d) 2