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Evaluate: (lim)(x->e)(logx-1)/(x-e)...

Evaluate: `(lim)_(x->e)(logx-1)/(x-e)`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. The value of lim(x->pi) (sqrt(2+cosx)-1)/(pi-x)^2

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  2. Evaluate the following limit: (lim)(x->(3pi)/2)(1+cos e c^3x)/(cot^2x)

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  3. Evaluate: (lim)(x->e)(logx-1)/(x-e)

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  4. Evaluate the following limit: (lim)(x->0)(5^x-1)/(sqrt(4+x)-2)

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  5. Evaluate the following limit: (lim)(x->0)(a^x+b^x-2)/(x\ )

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  6. Evaluate the following limit: (lim)(x->0)(8^x-4^x-2^x+1)/(x^2)

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  7. Evaluate the following limit: (lim)(x->0)(5^x+3^x+2^x-3)/x

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  8. Evaluate the following limit: (lim)(x->0)(e^x-1+sin x)/x

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

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  10. Evaluate: ("lim")(xveca)(logx-loga)/(x-a)

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  11. Evaluate: ("lim")(xveca)(logx-loga)/(x-a)

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  12. Evaluate the following limit: (lim)(x->0)(log(2+x)+log0.5)/x

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

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

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

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

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

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

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

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

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