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If the function . g(x)={(ksqrt(x+1),0lex...

If the function .
`g(x)={(ksqrt(x+1),0lexle3),(mx+2,3ltxle5):}`is differentiable, then the value of k+m is

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Let f(x) be a differentiable function and f'(4)=5. Then lim(xrarr2)(f...

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  18. The value of lim(xrarr0)(int0^(x^2) cos(t^2)dt)/(xsinx) is

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  19. If lim(xrarr0)(2asinx-sin2x)/tan^3x exists and is equal to 1, then the...

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  20. The function f(x)=a sin |x| +be^|x| is differentiable at x=0 when

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