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Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to rewrite the given limit so that it is not an indeterminate form. sin (9x) X 0 x lim 0 x O lim 0 x O lim Choose the limit equivalent to the given limit that can be evaluated using limit laws and commonly known limits. 0 x X sin (9x) lim X x →0 sin (9x) X sin (9x) X sin (9x) = = = lim 0 x lim x 0 lim lim x 0 x →0 0 x sin (9x) X 9 cos(9x) 9x sin 9 9 9 sin(9x) 9x lim (9 cos x) . Then determine the limit using limit laws and The limit found by using either method is lim x →0 sin (9x) Xx

Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to rewrite the given limit so that it is not an indeterminate form. sin (9x) X 0 x lim 0 x O lim 0 x O lim Choose the limit equivalent to the given limit that can be evaluated using limit laws and commonly known limits. 0 x X sin (9x) lim X x →0 sin (9x) X sin (9x) X sin (9x) = = = lim 0 x lim x 0 lim lim x 0 x →0 0 x sin (9x) X 9 cos(9x) 9x sin 9 9 9 sin(9x) 9x lim (9 cos x) . Then determine the limit using limit laws and The limit found by using either method is lim x →0 sin (9x) Xx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use l'Hopital's Rule to evaluate lim x 0 commonly known limits. lim 0个8 Use l'Hopital's rule to rewrite the given limit so that it is not an indeterminate form. sin(9x) X lim x → 0 lim x → 0 lim Choose the limit equivalent to the given limit that can be evaluated using limit laws and commonly known limits. x → 0 lim = x → 0 X sin (92) lim X x → 0 sin (9x) X sin (9x) X sin (9x) = = - = lim x → 0 lim x → 0 lim sin (9x) x → 0 X 9 cos (92) 9x sin 9 9 9 sin (92) 9x lim (9 cos x) x →→ 0 Then determine the limit using limit laws and The limit found by using either method is lim x → 0 sin(9x) X =
Transcribed Image Text:Use l'Hopital's Rule to evaluate lim x 0 commonly known limits. lim 0个8 Use l'Hopital's rule to rewrite the given limit so that it is not an indeterminate form. sin(9x) X lim x → 0 lim x → 0 lim Choose the limit equivalent to the given limit that can be evaluated using limit laws and commonly known limits. x → 0 lim = x → 0 X sin (92) lim X x → 0 sin (9x) X sin (9x) X sin (9x) = = - = lim x → 0 lim x → 0 lim sin (9x) x → 0 X 9 cos (92) 9x sin 9 9 9 sin (92) 9x lim (9 cos x) x →→ 0 Then determine the limit using limit laws and The limit found by using either method is lim x → 0 sin(9x) X =
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