<p>I'm very confused about the different types of limits.
What happens if its 1/1, inf/inf, 0/0, 1/inf, 1/0, 0/inf and all these different sorts of combinations?</p>
<p>Can someone make a list?</p>
<p>Thanks!</p>
<p>Let me see if I can help</p>
<p>If it's an indeterminate form-->apply L'Hopital's Rule [.....]</p>
<p>Indeterminate forms: infinity/infinity ; 0/0 ; 0 times infinity ; infinity - infinity</p>
<p>Determinate forms [don't apply l'hopital's rule] : infinity + infinity ; - infinity - infinity</p>
<p>thanks</p>
<p>any more advice?</p>
<p>basically 1/1 is 1, 1/inf is 0, 1/0 is inf, 0/inf is 0.
I think 1/1 is self-explanatory. But for 1/inf and 1/0 don't think of 0 or inf. Rather think of a really small or big number and look at the trend. For example, lim x->0 1/x is inf. Plug in a really small number instead of x. Then think what happens to 1/x. it becomes really big right? So you can say the limit is inf. For 0/inf just remember that nothing is more powerful than 0. Anything times 0 is 0.</p>