Please solve the questions 19,17,10

Please solve the questions 19,17,10 EXERCISE 9 (a) L •Hospitars Rule the follo»ing limits: (SCR' (SCRA) sin x — sin a Ruiei 15. lim I—x (IIT) 2002) (Kerala Engg. 2. then find lim 2. 4. 6. S. 10. 17. 11m 11m e lim lim lim lim svn a — cos a 4 (Karnataka CET 1998) (Kurukshetra CET 2002) (MAR) (ISC 2011) (ISC 2016) WIEEE 2002) (M CBSE) (Kerala Engg. 2002) (IIT) I -cosx tars Rug tan 21 — x 12 Y -sany 19. 21. 23. 25. 27. lim lim lim — cos I — cos nx cos ax — cos bx I log (l + x) lim — lim logs,n2a stn x -.04

    limx01 - cos mx1 - cos nx=limx0 2 sin2mx/22 sin2nx/2=limx0sin2mx/2 ÷ limx0sin2nx/2=limx0sinmx/2 . limx0sinmx/2 ÷ limx0sinnx/2 . limx0sinnx/2=m2x24×limx0sinmx/2mx/2 .   limx0sinmx/2mx/2 ÷n2x24×limx0sinnx/2nx/2 .   limx0sinnx/2nx/2=m2x24×1 × 1 ÷ n2x24×1 × 1=m2x24 × 4n2x2=m2n2

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