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If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)...

If `lim_(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4` ,then

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. ("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix),\ where \n=100 , ...

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  2. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

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

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  4. Evaluate: lim(x->0)(logcosx)/x

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  5. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

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  6. Evaluate: lim(x->0)(2^x-1)/((1+x)^(1/2)-1)

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  7. The largets value of non negative integer for which lim(x->1){(-a x+si...

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  8. Evaluate: lim(xrarr0)x^x

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

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  10. Evaluate: ("dy/dx") of logsinx+tanx

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  11. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

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  12. If m , n in I0 and lim(xrarr0)(tan2x-nsinx)/(x^3)= "some integer", th...

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  13. If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0, where n is non zero real ...

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  14. If ("lim")(x -> 0)(cos4x+acos2x+b)/(x^4) is finite, find aa n db using...

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  15. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

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  16. If lim(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0, then find the value o...

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  17. 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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  18. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

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  19. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  20. lim(x to 0) sinx^@/x = ?

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