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Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 ....

Let `f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4` . The value which should be assigned to `f(x)` at `x=pi/4,` so that it is continuous everywhere is 1 (b) `1/2` (c) 2 (d) none of these

A

`1//2`

B

1

C

2

D

none of these s

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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
  1. In order that the function f(x) = (x+1)^(cot x) is continuous at x=0...

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  2. Function f(x) = (sin 2x)^(tan^(2)2x) is not defined at x=pi/4. If f(x...

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  3. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be ass...

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  4. If f(x) = (2-(256 -7x)^(1//8))/((5x+32)^(1//5)-2), (x ne 2), then for ...

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  5. The value of lambda that makes the function f(x) = {{:((cos x)^(1//sin...

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  6. Let f''(x) be continuous at x = 0 and f''(0)=4, Then value of lim(x t...

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  7. If the function f(x) = {{:((1+ |sin x|^(a/(sin x))), -pi//6 lt x lt 0)...

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  8. Let f(x) = {{:(-2 sin x, x le -pi//2),(a sin x + b, -pi//2 lt x lt pi/...

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  9. The value of f(0) so that the function f(x) = (2x - sin^(-...

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  10. If f(x) = {{:((36^(x) - 9^(x) -4^(x)+1)/(sqrt(2)- sqrt(1+ cos x)), x n...

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  11. Let f(x) ={{:((x-4)/(|x-4|)+a, x lt 4),((x-4)/(|x-40|)+b, x gt 4):}, T...

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  12. If f(x)={1/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2)),x!=pi/2k ...

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  13. If f(x) = {{:((sin (a+1) x + sinx)/x, x lt 0),((sqrt(x+bx^(2))- sqrt(x...

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  14. let f(x)=(ae^|sinx|-bcosx-|x|)/(x^2) if f(x) is continuous at x=0 then...

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  15. Let f(x) = {(x^(p) sin 1/x, x ge 0),(0, x =0):} Then f(x) is continuo...

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  16. The value of k which makes f(x) = {{:(sin(1//x), x ne 0),(k, x =0):}, ...

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  17. f(x) = {{:(-1, x lt -1),(-x, -1 le x le 1),(1, x gt 1):} is continous

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  18. If f(x)=int(-1)^(x)|t|dt ,x>=-1 then

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  19. The following functions are continuous on (0, pi)

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  20. Given the function f(x) = 1/(1-x). The points of discontinuity of the ...

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