Let y = f (x) be differentiable, then what is Lim f (1 + △ x) - f (1) / 3 △ x equal to?

Let y = f (x) be differentiable, then what is Lim f (1 + △ x) - f (1) / 3 △ x equal to?


lim f(1+△x)-f(1)/3△x
From the definition of function derivative
f'(x)=lim[f(x+△x)-f(x)]/△x
therefore
lim f(1+△x)-f(1)/3△x
=(1/3)*lim [f(1+△x)-f(1)]/△x
=f'(1)/3