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11th Standard English Medium Business Maths Subject Differential Calculus Creative 2 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10
    5 x 2 = 10
  1. Show that the functions f(x) = 5x - \(\left| x \right| \) is continuous at x = 0

  2. For what value of k, the following function is continous at x =0?
    f(x) = \(\begin{cases} \frac { 1-cos4x }{ 8{ x }^{ 2 } } \quad ifx\neq 0 \\ k\quad \quad \quad ifx=0 \end{cases}\)

  3. Show that the function f(x) = 5x -3 is continous at x = +3

  4. Prove that the function given by f(x) = \(\left| x-1 \right| \), x \(\in\) R is not differentiable at x =1

  5. Evaluate \(\underset { x\rightarrow \frac { 1 }{ 2 } }{ lim } \frac { { 4x }^{ 2 }-1 }{ 2x-1 } \)

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