If f ′ (x0) = - 3, then Lim [f (x0 + H) - f (x0-3h)] / h= process

If f ′ (x0) = - 3, then Lim [f (x0 + H) - f (x0-3h)] / h= process

If f ′ (x0) = - 3
Then Lim [f (x0 + H) - f (x0-3h)] / h
=lim[f(x0+h)-f(x0)+f(x0)-f(x0-3h)]/h
=lim[f(x0+h)-f(x0)]/h+lim[f(x0)-f(x0-3h)]/h
=f′(x0)+3lim[f(x0-3h)-f(x0)]/(-3h)
=f′(x0)+3f′(x0)
=4f′(x0)
=4*(-3)
=-12