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The integer n for which lim(x rarr0)((co...

The integer n for which `lim_(x rarr0)((cos x-1)(cosx-e^x))/x^n` is a finite non-zero number is :

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let m and n be two positive integers greater than 1. if lim(alphararr0...

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

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

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

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

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

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

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  8. 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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  9. 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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  10. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

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

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

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  13. Evaluate: ("lim")(xto0)(1-"cos"(1-cosx)dot)/(x^4)

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  14. Evaluate: [("lim")(xrarr0)(tan^(-1)x)/x], where [.]represent the g...

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  15. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

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  16. Evaluate: ("lim")(xto pi/4)(sqrt(2)cosx-1)/(cotx-1)

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  17. underset(xto0)lim[(1-e^(x))(sinx)/(|x|)] is (where [.] represents the ...

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  18. Evaluate: lim(x->0)(1-cosm x)/(1-cosn x)

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  19. underset(xtooo)lim(cot^(-1)(x^(-a)log(a)x))/(sec^(-1)(a^(x)log(x)a)),(...

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  20. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

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