L'hospital's Rule Indeterminate Forms, Limits at Infinity, Ln, Trig & Exponential Functions Calculus

[@TheOrganicChemistryTutor]

Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk

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[@TheOrganicChemistryTutor]

You're very welcome. Thanks for the comment.

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[@rafiulhaque9139]

31:30 _lim_ f.g→f/g⁻¹ 42:38 _lim_ a-b→(a-b)(a+b)/(a+b) 55:40 _lim_ (f)ˣ→ln(y)= _lim_ x.ln(f)

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pre exam noted. thank you

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Base e both sides to eliminate ln in ln y

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in the first formula, doesnt that contradict the power rule? f.g = f’g + g’f ???? which one are we meant to use

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MY NOTES: When larger no. at bottom/denominator, then answer will most likely = 0 Anytime you have a constant (on numerator) divided by ∞, then answer will = 0 8:55 Looking at the degrees of either numerator or denominator, can help get to the answers - When denom. has degree(e.g. x^3) higher than numer.(e.g. x^2), the func. will be bottom heavy --> answer = 0 - When numer. has higher degree, then func will be top heavy --> either + ∞ or -∞ - When numer. and denom. has same degree ---> answer will equal to a constant 12:40

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The example at 35:02 really helped me out. Thanks!

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I pray you see this... Since f.g= f/1/g How do i know which function is Which?? Like is there a specific Way to substitute them; its really confusing cause i always get the wrong answer if i sub them the other round Please helpp

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25:37, he made a mistake by saying that cos 0 is -1 but it's simply 1 and the fraction would then be 0/0 which allows us to use L'hôpital's Rule

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π=180,so Cos(180-0)=-cos(0)=-1

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