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If f is a real- valued differentiable fu...

If f is a real- valued differentiable function satisfying `|f(x) - f(y)| le (x-y)^(2) ,x ,y , in R and f(0) =0` then f(1) equals

A

1

B

2

C

0

D

-1

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The correct Answer is:
C
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE main (Archive)
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  3. If f is a real- valued differentiable function satisfying |f(x) - f(y)...

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  4. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0. Then ...

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  5. If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...

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  8. let f(x) be a polynomial function of second degree. If f(1)=f(-1)and a...

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  9. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

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  10. lim (xto (pi)/(2))((1- tan ""(x )/(2))(1-sinx))/((1+ tan ""(x)/(2 ))(x...

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  11. If lim(xto0) (log (3+x)-log (3-x))/(x)=k, the value of k is

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  12. Let f(a)=g(a)=k and their nth derivatives exist and be not equal for s...

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  13. If f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne 0),(0 , x =0 ):} then f(x) is

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  14. If y (x+ sqrt(1+x ^(2)))^(n) then (1+ x ^(2) ) (d^(2)y)/(dx ^(2)) +x (...

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  15. lim(xto0) (sqrt(1-cos 2x))/(sqrt2x) is equal to-

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  16. lim(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

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  17. If siny=xsin(a+y) , then (dy)/(dx) is (a)(sina)/(sina sin^2(a+y)) (...

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  19. Evaluate lim(xtooo)((x-3)/(x+2))^(x)

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  20. Let f (2) = 4 f(2) = 4 Then Lt(x to 2) (x f(2) -2 f(x))/(x -2) is

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