3. Let a E R and let f be a function dened on an interval containing a, but possibly not at 3.. Consider the following \"theorem\": are) \" ,, . . . . Theorem . If $13; 1 + em) emsts, then i131: at) 83:33:53. You may assume that ex and lna: are continuous on their respective domains. (a) Prove that this theorem is false. 1%) . 8 (b) Let L = iii-Ii m. i.e that li_r>n f (:13) exists, and then prove it with these extra assumptions. I: {I Give the most general conditions on L to ensure that the theorem is true