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Evaluate the following limit: (lim)(x...

Evaluate the following limit: `(lim)_(x->0)(e^x^2-cos^x)/(x^2)`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limit: (lim)(x->0)(e^(t a n x)-e^x)/(tanx-x)

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  2. Evaluate the following limit: (lim)(x->0)(a^(t a n x)-a^(s in x))/(...

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  3. Evaluate the following limit: (lim)(x->0)(e^x^2-cos^x)/(x^2)

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  4. Evaluate the following limit: (lim)(x->0)(e^(sin2x)-e^(sin\ x))/x

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  5. Evaluate the following limit: (lim)(x->0)(cos(x e^x)-"cos"(x e^(-x)...

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  6. Evaluate the following limit: (lim)(x->0)(e^1//x^2-1)/(2\ a r ctanx...

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  7. If (lim)(x->1)(pi/4-tan^(-1)\ \ x)/(e^("sin"(lnx))-x^n) exists and has...

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  8. Evaluate the following limit: (lim)(x->oo)(a^(1//x)-1)x

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  9. Evaluate the following limit: (lim)(x->0)(x(2^x-1))/(1-cos x)

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  10. Evaluate the following limit: (lim)(x->2)("sin"(e^(x-2)-1))/("log"(...

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  11. Evaluate the following limit: (lim)(x->0)(e^x^2-cos^x)/(x^2)

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  12. Evaluate the following limit: (lim)(x->0)(e^x+e^(-x)-2)/(x^2)

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  13. Evaluate the following limit: (lim)(x->a)(log(x-a))/("log"(e^x-e^a))

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  14. Evaluate the following limit: (lim)(x->0)(a^(t a n x)-a^(sin x))/(t ...

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  15. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

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  16. Evaluate: ("lim")(xvec0)((729)^x-(243)^x-(811)^x+9^x+3^x-1)/(x^3)

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  17. Evaluate: ("lim")(xvec0)(1+x)^(os e cx c)

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  18. Evaluate (lim)(x->0)(cos x)^(cos2\ x)

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  19. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

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  20. Evaluate (lim)(x->0)((a^x+b^x+c^x)/3)^(2//x);(a ,\ b ,\ c >0)dot^(\...

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