Believe in power series, NOT LHopitals Rule @bprpcalcbasics
Believe in power series, NOT LHopitals Rule  @bprpcalcbasics
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
-----------------------------------------------------------------------
Want more practice? Get my calculus practice quizzes on Patreon!
Calculus 1 πŸ‘‰ patreon.com/collection/1703815
Calculus 2 πŸ‘‰ patreon.com/collection/1716951
-----------------------------------------------------------------------
#calculus #bprpcalculus #apcalculus #mathtutorials #math
Believe in power series, NOT LHopitals Rule31/1000, multivariable limit w/ polar coordinates, calculus 3120/1000, integral of 1/(1-x^2), hyperbolic tangent vs partial fractionBelieve in calculus, not calculators!35/1000, derivative of sin^3(x), calculus 147/1000, limit of (1-2/x)^x, calculus 1The most classic example that Green’s theorem fails!72/1000, integral of 1/sqrt(e^x-1), u substitution25/1000, DI method IS integration by parts! Calculus 2Evaluating an easy surface integralcurl(grad f) vs div(curl F)46/1000, integral of sin^2(x)
bprp calculus basics |

Believe in power series, NOT L'Hopital's Rule

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER