We have f(x) = x^300 + x + 1 and we have to find
lim x-->1 [ (f(x)-f(1))/(x-1)]
=> lim x-->1 [ x^300 + x + 1 - 3)/ (x-1)]
for x = 1 we have the form 0/0, so we can use l'hopital's rule
=> lim x-->1 [ 300*x^299 + 1 )]
for x = 1, we have 300*1 + 1 = 301
The required limit of the function is 301
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.