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

Evaluate the following limit: `(lim)_(x->0)(a^(t a n x)-a^(s in x))/(t a n x-s in x),\ a >0`

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

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

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

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

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

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

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

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

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

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

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