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If f (x) {{:((1 - cos 8 x )/(x^(2)) "," ...

If `f (x) {{:((1 - cos 8 x )/(x^(2)) "," x ge 0 ),(lambda ", " x lt 0 ) :}` is continous at
x = 0 than `lambda` = ?

A

32

B

16

C

64

D

8

Text Solution

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The correct Answer is:
A
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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5p
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  2. Let f(x)={(x-4)/(|x-4|)+a ,x<4a+b ,(x-4)/(|x-4|)+b ,x >4 Then f(x) is...

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  3. The points of discontinuity of the function f (x) = {{:(3x + 1"," ,...

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  4. If f (x) = x sin (1)/(2), x ne 0 then the value of the ltbRgt function...

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  5. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

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  6. If (x) = |x| + |x - 1|, than :

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  7. If f(x)= {{:((sqrt(1+lambdax)- sqrt(1 - lambdax))/(x) "," -1 le x lt...

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  8. If f (x) {{:((1 - cos 8 x )/(x^(2)) "," x ge 0 ),(lambda ", ...

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  9. f(x) = [x] (greatest integer function ) is continuous at x = 0 then f(...

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  10. If f (x) = (2x + 3 sin x )/(3x + 2 sin x ), x ne 0 is continous at x ...

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  11. If f(x)=sin^(-1) ((2x)/(1+x^2)) then f(x) is differentiable on

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  12. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

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  13. d/(dx)[log{e^x ((x-2)/(x+2))^(3/4)}]=

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  14. If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(...

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  15. If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2)...

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  16. The differential coeffcient of cot^(-1)(sqrtcos2x)at x = (pi)/(6) is

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  17. If y^(2) = ax^(2) + bx + c where a, b c are contants then y^(3)(d^(2...

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  18. if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...

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  19. If y^(1/m)= x + sqrt (1 + x^(2)) "then" (1 + x^(2))y(2)+ xy (1) = ?

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  20. If y = sin ^(2) alpha + cos ^(2) (alpha + beta) + 2 sin alpha sin beta...

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