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Prove that lim(xto0)((sinx)/(x))=1 (x...

Prove that `lim_(xto0)((sinx)/(x))=1` (x being in radians ) and hence Show that `lim(x to 0) ((tan x)/(x)) = 1 ` .

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Knowledge Check

  • Lim_(xto0)(1-ax)^((1)/(x))=

    A
    `e^(-a)`
    B
    e
    C
    `e^(a)`
    D
    1

  • lim_(x rarr 0) (1-ax)^(1/x) =

    A
    `e^(-a)`
    B
    e
    C
    `e^(a)`
    D
    1

  • lim_(x rarr 0) (1+ax)^(b/x)=

    A
    `e^(ab)`
    B
    `e^(a+b)`
    C
    `e^(a^(b))`
    D
    e

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