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If L=lim(x->0)(e^(-(x^2/2))-cosx)/(x^3 s...

If `L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx),` then the value of `1/(3L)` is

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

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  2. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

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  3. If L=lim(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L)...

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  4. If [dot] denotes the greatest integer function, then find the value of...

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  5. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

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  6. If 3-((x^2)/(12))lt=f(x)lt=3+((x^3)/9) for all x!=0, then find the val...

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  7. If f(x)={x-1,xgeq 1 2x^2-2,x<1,g(x)={x+1,x >0-x^2+1,xlt=0,a n dh(x) ...

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  8. Evaluate the limits using the expansion formula of functions ("lim")(x...

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  9. lim(xrarrinfty),where (2x-3)/xltf(x)lt(2x^2+5x)/x^2,is

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

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  11. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

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  12. Evaluate the limits using the expansion formula of functions ("lim")(x...

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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")(xvec2)(x^2-5x+6)/(x^2-4)

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  15. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then the value of b ...

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  16. Evaluate : ("lim")(xvec1)(2/(1-x^2)+1/(x-1))

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  17. ("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=

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  18. Evaluate : ("lim")(xto1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

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  19. If L=("lim")(nvecoo)(2x3^2x2^3x3^4 x2^(n-1)x3^n)^1/((n^(2+1)) , then t...

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  20. Evaluate ("lim")(xvecpi/4)(1-sin2x)/(1+cos4x)

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