MAC-2311 Midterm: MAC 2311-17 test-1-key
Document Summary
An answer with no work receives no credit. You may use the back of a page if you need more space for a problem. Page 1 of 6: in each part, nd the limit if it exists (show your steps). Nite, write or (depending on its sign). If the limit otherwise does not exist, write dne and explain why. For parts (b) and (c) sketch a graph of the function near the point at which the limit is sought. (a) (4 points) lim x 1 . 1 x (b) (5 points) tan(x) lim x . 2 tan(x) = (c) (4 points) lim x 0 . T2 + 9 3 t2 t 0(cid:0) lim (cid:1) = lim t 0(cid:0) t 0(cid:0) T4 4t2 (cid:1) ( t2 + 9 3)( t2 + 9 + 3) t2 + 9 9 t2( t2 + 9 + 3) t2( t2 + 9 + 3)(cid:1)
