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lim(x rarr 2)(sqrt(1-cos{2(x-2)})/(x-2))...

`lim_(x rarr 2)(sqrt(1-cos{2(x-2)})/(x-2))` =?

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x)={f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

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  2. The limit of sum(n=1)^1000(-1)^n x^n as xrarrinfty

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  3. The limit of [1/x^2+(2013)^x/(e^x-1)-1/(e^x-1)] as xrarr0

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  4. The limit of {1/xsqrt(1+x)-sqrt(1+1/x^2} as xrarr0

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  5. If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4 ,then

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  6. Let f(x)={(x^2|cos"pi/x|, x ne0),(0, x=0):}, x in R, then f is

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  7. Let alpha(a) and beta(b) be the roots of the equation , (root(3)(1+a)...

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  8. For every integer n, let an and bn be real numbers Let function f : R ...

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  9. If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi, where...

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  10. Consider the function f(x) = |x-2|+|x-5|, Statement 1: f'(4)=0 State...

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  11. Let R rarr R be a function such that f(x+y) = f(x)+f(y) AA x, y in R. ...

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  12. If lim(x rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

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  13. If f(x)={(-x-pi/2, x le -pi/2),(-cosx, -pi/2ltxle0),(x-1, 0ltcle1),(ln...

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  14. lim(x rarr 2)(sqrt(1-cos{2(x-2)})/(x-2)) =?

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  15. The value of p and q for which the function f(x)={((sin(p+1)x+sinx)/...

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  16. The value of lim(x rarr 1) (x+x^2+...+x^n-n)/(x-1) is

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  17. lim(x rarr 0) (sin(pi sin^2 x))/x^2=

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  18. If the function f(x)={((x^2-(A+2)x+A)/(x-2), "for" x ne 2),(2, "for"...

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  19. f(x)={([x]+[x], "when" x ne 2),(lambda, "when" x = 2):} If f(x) is c...

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  20. Let IR be the set of real numbers andf : IR be such that for all x, y ...

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