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Evaluate the following limit: (lim)(x->0...

Evaluate the following limit: `(lim)_(x->0)("log"(1+x))/(3^x-1)`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. Evaluate the following limit: (lim)(x->0)(log(3+x)-"log"(3-x))/x

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

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  3. Evaluate the following limit: (lim)(x->0)("log"(1+x))/(3^x-1)

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  4. Evaluate the following limit: (lim)(x->0)(a^(m x)-1)/(b^(n x)-1),\ n!=...

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  5. Evaluate the following limit: (lim)(x->0)(9^x-26^x+4^x)/(x^2)

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  6. Evaluate the following limit: (lim)(x->0)(a^(m x)-b^(n x))/x

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

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  8. Evaluate the following limit: (lim)(x->0)(a^x+b^x-c^x-d^x)/x\

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  9. Evaluate the following limit: (lim)(x->0)(sin2x)/(e^x-1)

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  10. Evaluate the following limit: (lim)(x->0)(log(a+x)-"log"(a-x))/x

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  11. Evaluate the following limit: (lim)(x->5)(e^x-e^5)/(x-5)

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

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

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  14. Evaluate the following limit: (lim)(x->0)(e^(b x)-e^(a x))/x where 0

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

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  16. Evaluate the following limit: lim(x->pi/2)(e^(cos x)-1)/(cos x)

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

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  18. Evaluate the following limit: (lim)(x->0)(e^(t a n x)-1)/(t a n x)

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  19. Evaluate the following limit: (lim)(x->0)(e^(tanx)-1)/x

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  20. Evaluate the following limit: (lim)(x->0)(cosx)^(1/sin x)

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