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Evaluate the following limits : under...

Evaluate the following limits :
`underset(xrarr0)"lim"(sqrt(1+x)-sqrt(1-x))/(x)`

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CHHAYA PUBLICATION-LIMIT-EXERCISE 2 (Very Short Answer Type Questions )
  1. Evaluate the following limits : underset(xrarr(a)/(2))"lim"(8x^(2)-...

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  2. Evaluate the following limits : underset(xrarr(1)/(2))"lim"(8x^(3)-...

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  3. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(1+x)-sqr...

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  4. Evaluate the following limits : underset(xrarr0)"lim"(1-sqrt(1-x^(2...

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  5. Evaluate the following limits : underset(hrarr1)"lim"(h-1)/(sqrt(h...

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  6. Evaluate the following limits : underset(xrarr2)"lim"(sqrt(x)-sqrt(...

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  7. Evaluate the following limits : underset(xrarr0)"lim"(x^(2))/(a-sqr...

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  8. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(a+x)-sqr...

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  9. Evaluate the following limits : underset(xrarr3)"lim"(x-3)/(sqrt(x-...

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  10. Evaluate the following limits : underset(xrarra)"lim"(sqrt(x-b)-sqr...

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  11. Evaluate the following limits : underset(xrarr1)"lim"(x^(2)-1)/(sqr...

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  12. Evaluate the following limits : underset(xrarr2)"lim"(sqrt(1+2x)-sq...

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  13. underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)=?

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  14. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(1+x+x^(...

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  15. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(1+2x^(2)...

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  16. Show : underset(xrarr2)"lim"(x^(9)-512)/(x^(4)-16)=72

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  17. Show : underset(xrarr2)"lim"((1+x)^(n)-3^(n))/(x-2)=n.3^(n-1)

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  18. show : underset(xrarr3)"lim"(x^(-6)-3^(-6))/(x^(-4)-3^(-4))=(1)/(6)

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  19. show : underset(hrarr0)"lim"(root(3)(h+1)-1)/(h)=(1)/(3)

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  20. show : underset(xrarra)"lim"(root(3)(x)-root(3)(a))/(x-a)=(1)/(3)a^(-2...

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