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Evaluate: ("lim")(xto0)(2^x-1)/((1+x)^(1...

Evaluate: `("lim")_(xto0)(2^x-1)/((1+x)^(1/2)-1)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->0)(logcosx)/x

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

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  3. Evaluate: ("lim")(xto0)(2^x-1)/((1+x)^(1/2)-1)

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

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  5. Evaluate: lim(xrarr0)x^x

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  6. Let m and n be two positive integers greater than 1.If lim(alpha->0) (...

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

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  8. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

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

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

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

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

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

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

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

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

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

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

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  20. 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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