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If f(x) = lim(nrarr infty)(sinx)^(2n) wh...

If `f(x) = lim_(nrarr infty)(sinx)^(2n)` where `n in l^+` then f(x) is

A

continuous at`x=frac(pi)(2)`

B

discontinuous at `x =frac(pi)(2)`

C

discontinuous at `x =(pi)`

D

none of these

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. Let f : R rarr R be any function. Define g : R rarr R by g(x)=|f(x)| f...

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  3. If f(x) = lim(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

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  4. The function f(x)=(sin2x)^(tan^2 2x) is not defined at x=pi/4. The val...

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  5. Let f : R rarr R be a differentiable function having f(2) = 6, f'(2) =...

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  7. Let f: RrarrR be such that f (1) = 3 and f' (1) = 6 Then, lim(xrarr0)(...

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  8. If lim(xrarr0)(1+ax+bx^2)^(2//x) = e^3 then

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  9. If x+|y| = 2y, then y as a function of x is

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  10. On the interval I = [-2, 2], the function f(x)={((x+1)e^(-(1/|x|+1/x)...

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  11. In the interval 0ltxlt2pi, the function f(x)= |sin2x| is not different...

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  12. If lim(xrarr0)4(frac(x+1)(2x+1))=y^2+4y+5 then y can be equal to

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  13. At the pointx = 0, for the function f(x) = frac(1)(2-|x| the following...

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  15. A function is defined as f(x) = {(e^x, xle0),(|x-1|, x gt0):}, then f(...

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  16. If f(x) = |x-a| phi (x), where phi(x) is continuous function, then

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  17. If f (x) = min { 1, x^2 , x^3} then

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  18. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

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  19. For function f(x) = xcosfrac(1)(x),xge 1

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  20. মান নির্ণয় করো cos sin^-1(-sqrt3/2)

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