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The value of lim(x->0)((1+2x)/(1+3x))^(1...

The value of `lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x)` is `e^(5/2)` b. `e^2` c. `e^(-2)` d. 1

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The value of (lim)(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a)-1//2 (...

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  2. Let f : R rarr R be a differentiable function at x = 0 satisfying f(0)...

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  3. The value of lim(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2...

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  4. (lim)(xvec0^+)1/(xsqrt(x))("a t a n"^(-1)(sqrt(x))/a-btan^(-1)(sqrt(x)...

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  5. If f^(prime)(a)=1/4, t h e n(lim)(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3...

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  6. The value of (lim)(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is

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  7. Evalaute underset(xto1)lim(1+logx-x)/(1-2x+x^(2))

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  8. The value of (lim)(xvec1)(x ^(1/13)-x^(1/7))/((x^(1/5) - x^(1/3)) is ...

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  9. Number of integral values of lambda for which (lim)(x to 1)sec^(-1)((l...

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  10. If f(x)={x/(s in x),x >0 2-x ,xlt=0 and g(x)={x+3,x<1x^2-2x-2,1lt=x<2x...

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  13. If underset(xrarr0)(lim)(f(x))/(x^(2))=aand underset(xrarr0)(lim)(f(1-...

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  15. (lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4) a.(pi^2)/6 b...

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  17. The value of (lim)(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c...

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  18. If an and bn are positive integers and an+sqrt(2)bn=(2+sqrt(2))^n ,t h...

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