Please show work on the paper for me easier to understand. Thank You!

2:32 AM Thu Jun 27 . . . 100% a 3. lim[f (x)g(x) ] = (lim f (x) )lim g(x)) 4 . lim J (x) lim f (x) =x->a lim g(x) # 0 x-a g(x) lim g (x) x->a 5. lim[f (x)]" = (lim f (x)) 6. lim c = c x ->a 7. lim x" = q" 8. lim\\x = Va x -> a 9. lim \\ f (x) = , lim f (x) 10. limbf(x) = ba x ->a Theorem: If f is a polynomial or a rational function and a is in the domain of f, then lim f (x) = f(a) x -> a Ex: Evaluate the following limits and justify each step 2x2 - 5x-3 a) lim e 3x5-5x-12 * -$ 3 b ) lim 3- 2x2 + x-15 x 7 3 V x2+7x+12 Previous Next C_ Dashboard 888 Calendar To Do Notifications Inbox2:32 AM Thu Jun 27 100% a x -> a lim f ( x) = lim h(x) = L = lim g(x) = L Ex: Evaluate the following limits: a) lim x sin 3 2x2 b) If 3x S f(x) Sx' +2for 0Ex-2, evaluate lim f(x). c ) cl_x 1-cosx 1-cos x 2 24 * 2 for x close to zero. Evaluate lim- * -+ 0 x 2 Previous Next C_ Dashboard 888 Calendar To Do Notifications Inbox