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Let `f(x)=(cos x -sinx)/(cos 2x)+ sin^2x , x ne pi/4` . The value of `f(pi//4)` so that f is continuous on `(0,pi//2)` is `(sqrt2=1.41)`

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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Exercise (Numerical Answer)
  1. Find the value of lim(x to 1) (1+sin pix)^(cos pix)

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  2. ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...

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  3. Find the value of lim(x to oo) (pi/4 - "tan"^(-1) (x+1)/(x+2)) .

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  4. Find the value of |(lim( x to 1) (x^x-1)/(x log x )) /( lim( xto0) (lo...

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  5. If lim( x to 2) (A sin (x-2) +B cos (x-2) +5)/(x^2-4)=1 , then |A-B| i...

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  6. If (5x-2)/x lt f(x) lt (5x^2-4x)/x^2 and (sinx^2)/x lt g (x) lt (log (...

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  7. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

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  8. If lim(x to 2) ((-ax+sin(x-2)+2a)/(x+sin (x-2)-2))^((2-x)/(sqrt2-sqrtx...

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  9. Let m and n be two integers greater than 1. if lim(alpha to 0) ((e^(co...

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  10. Let f(x)=lim( n to oo) (x^(2n-1) + ax^2 +bx)/(x^(2n) +1) . If f is con...

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  11. Find the value of f(0) so that the function f(x)=1/24 (4^x-1)^3/(sin (...

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  12. Find the value of f(0) so that the function f(x)=([log (1+x//12)-log (...

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  13. Find the value of f(0) so that the function f(x)=1/8 (1-cos^2 x+sin^2 ...

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  14. Find the value of f(1) so that the function f(x)=((root(3)x^2-(2x^(1//...

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  15. Let f(x)=x^2 if x is rational and f(x)=1-x^2 if x is irrational then ...

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  16. Let f(x)=(cos x -sinx)/(cos 2x)+ sin^2x , x ne pi/4 . The value of f(p...

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