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    Name national realnumbers_035 ((1+1/n)^(n+1) убывающая)
    Name international realnumbers_035
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    Source of objectCreated by the viewed user
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    Date of creation23 February 2015 Year 16H:39M:45S
    Date of update12 December 2020 Year 01H:00M:41S

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    realnumbers_035 ((1+1/n)^(n+1) убывающая) realnumbers_035
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    Detailed Description Of The Object
    realnumbers_035 ((1+1/n)^(n+1) убывающая) realnumbers_035    Text mode
    Покажите, что последовательность cn=(1 + 1/n)^(n + 1) убывающая

    Указание:
    Как связаны последовательности c_n=(1 + 1/n)^(n + 1) и b_n=(1-1/n)^n:
    cn=(1 + 1/n)^(n + 1)=((n + 1)/n)^(n + 1)=1/(n/(n + 1))^(n + 1)=1/((n + 1-1)/(n + 1))^(n + 1)=1/(1 - 1/(n + 1))^(n + 1) =1/b_(n + 1)
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    realnumbers_035 ((1+1/n)^(n+1) убывающая) realnumbers_035
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    realnumbers_035 ((1+1/n)^(n+1) убывающая) realnumbers_035
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    realnumbers_035 ((1+1/n)^(n+1) убывающая) realnumbers_035
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