Chapter 2 Section 5

Chapter 2 Section 5 - substitution. - and , , , 3 4 9 ) 2 (...

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Chapter 2 Section 5 Evaluating limits algebraicly 1
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The rule of substitution only works when f(x) is continuous. ( 29 ( 29 10 5 x lim   gives   on, substituti   by   which, 5 x lim 5 x 5) 5)(x (x lim 5 x 25 x lim write   can   we   5   to   equal   not   but   5,   to   close   x for    is   limit   the   , definition   by   Since, 5 x 5 x 5) 5)(x (x 5 x 25 x   but, form   ate indetermin   the   called   is    which    0 0    gives   on substituti 5 x 25 x lim Consider 5 x 5 x 5 x 2 5 x 2 2 5 x = + + = - + - = - - + = - + - = - - - - 2
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The indeterminate forms are When f is indeterminate at x = c, we try to transform f into a new expression that coincides with f(x) near c but is continuous at x = c and use
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Unformatted text preview: substitution. - and , , , 3 4 9 ) 2 ( lim . 12 # , 98 2 4--+ h h h page h 4 16 4 lim . 16 # 98 page 16-- x x x 5 +-+ x x x x 2 1 1 lim . 26 # 98, page 6 ( 29 ) tan( ) sec( lim . 30 # 98, page 2 - 7 1 3 1 3 lim . 32 # 98, page 2-- x x x 8 a x x a x page a x--+ 2 2 4 ) ( lim . 48 # , 98 9 4 4 lim : 4 + +- x x Example x 10...
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This note was uploaded on 09/28/2009 for the course MATH 1550 taught by Professor Wei during the Spring '08 term at LSU.

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Chapter 2 Section 5 - substitution. - and , , , 3 4 9 ) 2 (...

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