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Evaluate ("lim")(xvec(5pi)/4) [sinx+cosx...

Evaluate `("lim")_(xvec(5pi)/4)` `[sinx+cosx],` where [.] denotes the greatest integer function.

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Evaluate: lim_(xto(5pi)/(4)) [sinx+cosx] , [.] denotes the greatest integer function.

f(x)=[abs(sinx)+abs(cosx)] , where [*] denotes the greatest integer function.

Knowledge Check

  • The value of the integral I=int_(0)^(pi)[|sinx|+|cosx|]dx, (where [.] denotes the greatest integer function) is equal to

    A
    1
    B
    2
    C
    `pi`
    D
    `2pi`

  • lim_(xrarr pi//2)([x/2])/(log_e(sinx)) (where [.] denotes the greatest integer function)

    A
    does not exist
    B
    equals 1
    C
    equals 0
    D
    equals -1

  • lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

    A
    0
    B
    1
    C
    -1
    D
    non -existant

    • Similar Questions

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    lim_(x rarr(5 pi)/(4))[sin x+cos x], where I] denotes the greatest integer function is equal to

    Evaluate: int_(0)^(2 pi)[sin x]dx, where [.] denotes the greatest integer function.

    Evaluate: int_(0)^((5 pi)/(12))[tan x]dx, where [.] denotes the greatest integer function.

    Evaluate: int_((pi)/(2))^(2 pi)[cot^(-1)]dx, where [.] denotes the greatest integer function

    lim_(x->0) (e^[[|sinx|]])/([x+1]) is , where [.] denotes the greatest integer function.

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