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Evaluate: lim(x->0)(3^(2x)-2^(3x))/x...

Evaluate: `lim_(x->0)(3^(2x)-2^(3x))/x`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. lim(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2)) is equal...

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  3. Evaluate: lim(x->0)(3^(2x)-2^(3x))/x

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  4. lim(x->2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(...

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  5. Evaluate: lim(x->0)(log(5+x)-"log"(5-x))/x

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  6. Each question contains statements given in two columns which have to b...

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  7. Let P(n)=a^(P(n-1))-1,AA n=2,3,..., and let P(1)=a^(x)-1, where ainR^(...

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  8. Column I ([.] denotes the greatest integer function), Column II ""(...

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  9. 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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  10. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)

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  11. Find the values of b for which the points (2b+3, b^(2)) lies above of ...

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  12. If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...

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  13. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

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  14. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

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  15. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

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  16. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

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  17. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

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  18. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

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  19. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

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  20. Consider the following graph of the function y=f(x). Which of the foll...

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