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

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  • Опубліковано 19 січ 2025

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    @TheOrganicChemistryTutor  Рік тому +12

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      @TheOrganicChemistryTutor  7 років тому +206

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    @rafiulhaque9139 3 роки тому +92

    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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      Base e both sides to eliminate ln in ln y

    • @rayanshaikh7271
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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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  • @azaa2188
    @azaa2188 9 місяців тому +2

    MY NOTES:
    When larger no. at bottom/denominator, then answer will most likely = 0
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    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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    Thanks for this video. It has served as a good review of L'Hospital's / L'Hôpital's Rule.

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