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PRACTICE 3. Let's do this! Youtube.com Answer the following problems of limits 1. lim x = x-23 2. lim 234 = x-19 3. lim 8 = x-25 4. lim 2x3 - 3 = X-3 5. lim 5x4 + 2x = x--2 6. lim 2x 3-8 = (Be sure to simplify your fraction to its lowest term) x-2 4x 7. lim v50x = x-2 8. lim 45 x-0+ 3x5= (Take note of Theorem 2.5) 9. lim 8 -0+x 3r10 10. lim 12 9x6 (Take note of your Theorem 2.6) 11. lim 123 x--00 20x13 12. lim 2x 5-7x+10 x--00 5x 8-2x3+4x2+5 13. lim 9x 7+2x5+10x X+00 5x 8+2x4+6x+1 14. lim x10+4x4+9 X-00 8x8-x4+6 15. lim 12x6 +4x4+9 X--00 8x2-x3-4Theorem 2.5 a. lim = +00 X+0+ too, if r is even b. lim 1 = 7+07 (-co, if r is oddTheorem 2.6 Let r be any positive integer. Then a. lim = 0 , and X- + 00 b. lim =0. X -00 Theorem 2.6 tells that the limit of as x approaches too or -co is always equal to zero (0). Remember the case of 1 as x approaches too or -co", the result is always 0