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Discuss the continuity of f(x)=sgn(2cosx...

Discuss the continuity of `f(x)=sgn(2cosx-1)`

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

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  2. Discuss the continuity of f(x)=|x|sgn(x^3-x)

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  3. Discuss the continuity of f(x)=sgn(2cosx-1)

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  4. Discuss the continuity of f(x)=sgn(x^2-2x+3)

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  5. Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2)...

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  6. Discuss the continuity of f(x)=sgn(x^3-x)

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  7. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

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  8. Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2...

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  9. Suppose f is a continuous map from R to R and f(f(a))=a for some adot ...

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  10. Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...

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  11. Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...

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  12. Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...

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  13. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

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  14. Using intermediate value theorem, prove that there exists a number x s...

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  15. Is the function is non-differential at x=0? f(x)="x"|"x"|

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  16. Is the function is non-differential at x=0? f(x)="cos"|x|

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  17. f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where...

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  18. Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not ...

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  19. Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

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  20. If f(x) is continuous function AAx in R and the range of f(x) = (2, sq...

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