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If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^...

If `lim_(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0`, where n is non zero real number, then a is equal to:

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

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

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

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

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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 rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

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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")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

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  10. lim(x to 0) sinx^@/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, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

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

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

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

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

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

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

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  20. Evaluate: lim(x->0)(cot2x-cos e c2x)/x

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