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Miscellaneous·2017·Easy

If l1 = d/dx(e^sin x) l2 = lim h→0 (e^sin(x+h) - e^sin x)/h l3 = ∫e^sin x cos x dx then which one of the following is correct?

If
l1 = d/dx(e^sin x)
l2 = lim h→0 (e^sin(x+h) - e^sin x)/h
l3 = ∫e^sin x cos x dx
then which one of the following is correct?

Options

  1. a.

    l1 ≠ l2

  2. b.

    d/dx(l3) = l2

  3. c.

    ∫l3 dx = l2

  4. d.

    l2 = l3

    Correct answer

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