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Let m and n be two positive integers gre...

Let m and n be two positive integers greater than 1. if `lim_(alphararr0)((e^cos(a^n)-e)/alpha^m)=-(e/2)`,then the value of m/n is

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. Let a and b be real numbers such the the function f(x)={(-3ax^2-2,x<1...

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  3. Let m and n be two positive integers greater than 1. if lim(alphararr0...

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  4. The correct statement(s) is (are)

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  5. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

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  6. lim(xrarr0)((1-cos2x)(3+cosx))/(xtan4x) is equal to:

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  7. If the function . g(x)={(ksqrt(x+1),0lexle3),(mx+2,3ltxle5):}is differ...

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  8. Let f:RrarrR be defined as . f(x)={(0, "x is irrational"),(sin|x|,"x i...

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  9. If lim(xrarr0)(axe^x-blog(1+x))/x^2=3 ,then the values of a ,b are res...

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  10. Let [x]denote the greatest integer less than or equal to x . Then the ...

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  11. Let f:RrarrR be differentiable at x=0 . If f(0)=0 and f'(0)=2,then the...

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  12. Let f:RrarrR be such that f(2x-1)=f(x) for all x in R . If f is contin...

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  13. Let fbe any continuously differentiable function on [a,b] and twice di...

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  14. Let f:[a,b]rarr[1,infty) be a continuous function and lt g: RrarrR be ...

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  15. Letf:RrarrR and g:RrarrR be respectively given by f(x)=|x|+1 and g(x)=...

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  16. The largest value of the non-negative integer a for which lim(xrarr1){...

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  17. Let f1:RrarrR,f2:[0,infty)rarrR,f3:RrarrRandf4:Rrarr[0,infty) be defin...

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  18. lim(xrarr0)sin(picos^2x)/x^2 is equal to :

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  19. If g is the inverse of a function f and f(x)=1/(1+x^5) , Then g'(x) i ...

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  20. The function f(x)=tan{pi[x-pi/2]}/(2+[x^2] , where [x] denotes the gre...

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