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If ("lim")(xrarr0)({(a-n)n x-tanx}sinn...

If `("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0,` where `n` is nonzero real number, the `a` is 0 (b) `(n+1)/n` (c) `n` (d) `n+1/n`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

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  2. If m , n in I0a n d("lim")(xrarr0)(tan2x-nsinx)/(x^3)= some integer,...

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  3. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

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  4. If ("lim")(xto0)(cos4x+acos2x+b)/(x^4) is finite, find a and b using e...

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

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  6. 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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  7. If lim(x->0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,where theta...

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

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  9. Evaluate: ("lim")(x to oo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x...

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  10. Evaluate: ("lim")(xrarr0)(sinx^0)/x

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

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

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

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

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  15. lim(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the gre...

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  16. Evaluate: ("lim")(xvec0)(1-cosm x)/(1-cosn x)

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  17. lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...

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

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  19. The value of ("lim")(xveca)sqrt(a^2-x^2)cot(pi/2)sqrt((a-x)/(a+x)) is ...

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  20. Evaluate: ("lim")(xvec0)(cot2x-cos e c2x)/x

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