Uploaded February 2026 | Updated September 2026, 2 weeks ago
We will evaluate the limit of (1-sin(x)/x)^(1/ln(x)) by using a power series. Note that this limit is in the 0^0 indeterminate form BUT the answer is NOT 1.
Power series that you should know patreon.com/posts/102794443
This question is from https://exam.lib.ntu.edu.tw/sites/default/files/exam//undergra/114/114-16.pdf
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Want more practice? Get my calculus practice quizzes on Patreon!
Calculus 1 π patreon.com/collection/1703815
Calculus 2 π patreon.com/collection/1716951
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#calculus #bprpcalculus #apcalculus #mathtutorials #math
We will evaluate the limit of (1-sin(x)/x)^(1/ln(x)) by using a power series. Note that this limit is in the 0^0 indeterminate form BUT the answer is NOT 1.
Power series that you should know patreon.com/posts/102794443
This question is from https://exam.lib.ntu.edu.tw/sites/default/files/exam//undergra/114/114-16.pdf
-----------------------------------------------------------------------
Want more practice? Get my calculus practice quizzes on Patreon!
Calculus 1 π patreon.com/collection/1703815
Calculus 2 π patreon.com/collection/1716951
-----------------------------------------------------------------------
#calculus #bprpcalculus #apcalculus #mathtutorials #math










