7.5.4 Indeterminate forms 0 0 ,1 ∞ and ∞ 0
Chapter 1: Chapter 7 · MATHEMATICS-VOLUME 2 · EN medium
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In order to evaluate the indeterminate forms like this, we shall first state the theorem on the limit of a composite function. Theorem . Let lim ( ) g x →α exist and let it be L and let f x ( ) be a continuous function at x L . Then, lim ( ( )) f g x →α = f g x x lim ( ) α The evaluation procedure for evaluating the limits ( ) Let A g x lim ( ) . Then taking logarithm, with the assumption that A > to ensure the continuity of the logarithm function, we get log limlog( ( ))
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 33
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In order to evaluate the indeterminate forms like this, we shall first state the theorem on the limit of a composite function. Theorem . Let lim ( ) g x →α exist and let it be L and let f x ( ) be a continuous function at x L . Then, lim ( ( )) f g x →α = f g x x lim ( ) α The evaluation procedure for evaluating the limits ( ) Let A g x lim ( ) .
Then taking logarithm, with the assumption that A > to ensure the continuity of the logarithm function, we get log limlog( ( ))
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