Anonymous
Anonymous asked in 科學數學 · 5 years ago

Chapter 2 Differentiation(1)

各位高手:

請問第11題要怎麼證明?

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2 Answers

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  • 萱萱
    Lv 6
    5 years ago
    Favorite Answer

    不保證絕對正確

    pf1.

    -2│x│<xsin(1/x)<2│x│

    →0≦lim(x→0): xsin(1/x)≦0

    →lim(x→0): f(x)=0=f(0) 得證#

    pf2.

    dg/dx

    =lim(x→0): {[g(x)-g(0)]/(x-0)}

    =lim(x→0): x*sinx=0#

    因為我不會打符號,部分用括弧替代

    2015-05-17 00:10:19 補充:

    pf1:c

    df/dx

    =lim(x→0): {[f(x)-f(0)]/(x-0)}

    =lim(x→0): sin(1/x)→doesn't exist#

    Source(s): 所見所聞,所思所學
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  • 5 years ago

    萱萱 答對了!

    ╭∧---∧╮

    │ .✪‿✪ │

    ╰/) ⋈ (\\╯

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