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the value of lim(x->y) (sin^2x-sin^2y)/(...

the value of `lim_(x->y) (sin^2x-sin^2y)/(x^2-y^2)` equals

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Knowledge Check

  • The value of Lim_(xto0) (5x^(2)+[x^(2)+1])^(((1)/(x^(2)+sin^(2)x))) is, [Note : [y] denotes greatest interger less than or equal to y.]

    A
    `(5)/(2)`
    B
    `e^((5)/(2))`
    C
    `(25)/(2)`
    D
    `e^((25)/(2))`

  • lim_(x to pi)(sin 3x)/(sin 2x) is equal to

    A
    `3/2`
    B
    0
    C
    1
    D
    `-3/2`

  • What is the value of {(sin4x+sin4y)tan(2x-2y)}/(sin4x-sin4y)?

    A
    `tan 2 (2x + 2y) `
    B
    `tan(2)`
    C
    `cot(x - y)`
    D
    `tan (2x + 2y)`