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If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(...

If `L=lim_(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx)`, then find the value of `1//(3L)` is ________.

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  3. If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...

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  6. If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...

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  8. Evaluate underset(xto0)lim{(sinx-x+(x^(3))/(6))/(x^(5))}.

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  9. underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))A...

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  10. Evaluate underset(xto0)lim(sinx+log(1-x))/(x^(2)).

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  11. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

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  12. Evaluate the limits using the expansion formula of functions lim(x->0)...

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  13. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

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  14. Evaluate : lim(x->2)(x^2-5x+6)/(x^2-4)

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  16. Evaluate : lim(x->1)(2/(1-x^2)+1/(x-1))

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  17. lim(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=

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  18. Evaluate : lim(x->1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

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  19. If L= lim(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^...

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  20. Evaluate lim(x->pi/4)(1-sin2x)/(1+cos4x)

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