Preview File Edit View Go Tools Window Help C 99% Sun Sep 12 8:34 PM hw3_math140_Fall_2021.pdf Page 1 of 7 Q 1 2 . ' Q search E.PDF w3_math140_Fall_2021... 1. Suppose f, g, h, i, j, k are functions satisfying e : CPR g List atification.pdf . lim f (x) = lim g(x) = 00, . h(x) > 0 for all x # 2 and lim h(x) = 0, . lim i (x) = 3, math140_Fa . j(x) is a polynomial and j (2) = 5, 2021.pdf . k(x) = (2-2)j(2) x - 2 If possible, calculate the following limits or determine that they do not exist. Classify infinite limits if possible. If there is not enough information to determine what happens, find examples that math140_Fa 1 illustrate that different behavior is possible. _2021.pdf 1. lim(i(x) + j(x)) 2. lim(i(x)j(x)) 3. lim i(z) (i(z) 4. lim f(x) ) 5. lim(f(x) + g(x)) 6. lim(f(x) - g(x)) 7. lim (f (x)g(x) ) 2 8. lim f(2) 1 12 9(2) 9. lim(f(x) + i(x)) 10. lim(f(x)i(x)) 11. lim(f(x)h(z)) 12. lim k(x) 13. True or false: k(x) = j(x) for all x. 1 SEP 12Preview File Edit View Go Tools Window Help C 99% Sun Sep 12 8:34 PM hw3_math140_Fall_2021.pdf Page 2 of 7 Q b . ' A Q Search E.PDF w3_math140_Fall_2021... CPR g List atification.pdf 2. Determine the infinite (co or -co) limit as follows: x2 - 2 1 +2- 22 - 3x + 2 math140_Fa 2021.pdf sin x - 1 (b) lim math140_Fa x-+ cosx + 1 _2021.pdf creen Shot 1-0...4.46 PM 3. Find the limit, if it exists. If the limit does not exist, explain why. mV3x2 + 4 -4 (a) ling 2 - x - 2 2 . Make sure your question includes specific X SEP 12