JIM101_VC2_2010-2011_Solutions - PUSAT PENGAJIAN PENDIDIKAN...

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PUSAT PENGAJIAN PENDIDIKAN JARAK JAUH UNIVERSITI SAINS MALAYSIA SIDANG AKADEMIK 2010/2011 JIM101 – CALCULUS VIDEO CONFERENCING 2 MUHAMAD FUAD ABDULLAH Answers 1. Limits (a) 0 0 4 2 lim 2 2 = - - x x x ( 29 ( 29 ( 29 4 1 2 2 1 2 1 lim 2 2 2 lim 2 2 = + = + = + - - = x x x x x x (b) 0 0 ) 2 cos 4 1 ( 2 5 sin lim 0 = + x x x x 2 1 10 5 8 2 5 ) 1 ( ) 2 cos 8 2 ( 5 lim 5 5 sin lim ) 2 cos 8 2 ( 5 5 sin 5 lim ) 2 cos 8 2 ( 5 sin lim 0 0 0 0 = = + = + = + = + = x x x x x x x x x x x x x
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(c) ( 29 ( 29 = - + 2 3 3 2 3 4 4 3 lim x x x x ( 29 ( 29 16 27 4 3 3 4 4 3 3 4 4 3 lim 3 4 4 3 lim 3 4 4 3 lim 2 3 2 3 2 3 3 2 3 3 3 3 2 2 2 6 2 3 6 3 2 = = - + = - + = - + = - + = x x x x x x x x x x x x x x x x x (d) 0 0 4 14 4 2 lim 2 = - + - x x x + + + + - + - = 4 14 4 14 4 14 4 2 lim 2 x x x x x ( 29 ( 29 - + + + - = 16 14 4 14 4 2 lim 2 x x x x
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