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निकालें lim(xrarr0) (sqrt(1+2x^(2))-sq...

निकालें
`lim_(xrarr0) (sqrt(1+2x^(2))-sqrt(1+x))/(sqrt(4+4x^(2))-sqrt(4-3x))`

लिखित उत्तर

Verified by Experts

The correct Answer is:
`-(2)/(3)`
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KC SINHA-फलन की सीमा -EXERCISE 24.1
  1. निकालें lim(xrarr1) ((2x-3)(sqrtx-1))/(2x^(2)+x-3)

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  2. निकालें lim(xto2)(x^(2)-4)/(sqrt(x+2)-sqrt(3x-2))

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  3. निकालें lim(xrarr1) (x-1)/(sqrt(x^(2)-1)+sqrt(x-1))

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  4. निकालें lim(x to 0)(sqrt(1+x^(2))-sqrt(1+x))/(sqrt(x^(2)+1)+sqrt(1-...

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  5. निकालें lim(xrarr0) (sqrt(1+2x^(2))-sqrt(1+x))/(sqrt(4+4x^(2))-sqrt(...

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  6. निकालें lim(xrarr1) (sqrt(x^(2)+8)-sqrt(10-x^(2)))/(sqrt(x^(2)+3)-s...

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  7. निकालें lim(xto1)(x^(2)-3x+2)/(x^(2)-1)

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  8. निकालें lim(x to 1)(x^(2)-3x+2)/(x^(2)-5x+4)

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  9. निकालें lim(xrarr5) (x^(2)-9x+20)/(x^(2)-6x+5)

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  10. निकालें lim(xrarr-2)(((1)/(x)+(1)/(2))/(x+2))

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  11. निकालें lim(xto2)(3x^(2)-x-10)/(x^(2)-4)

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  12. निकालें lim(xrarr2) (x^(3)-2x^(2))/(x^(2)-5x+6)\

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  13. निकालें lim(xrarr2) (x^(3)-4x^(2)+4x)/(x^(2)-4)

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  14. निकालें lim(xrarr3) (x^(4)-81)/(2x^(2)-5x-3)

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  15. निकालें lim(x^(2)-4) (x^(3)-4x^(2)+4x)

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  16. निकालें lim(xto2)(2x^(3)+3x^(2)-8x-12)/(x^(3)+5x^(2)-4x-20)

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  17. यदि f(x)=(1)/(x), तो साबित करें lim(hrarr0) (f(x+h)-f(x))/(h)=-(1)/(x^...

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  18. निकालें lim(xrarr2) ((1)/(x-2)-(4)/(x^(2)-4))

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  19. निकालें lim(x to 2)[(1)/(x-2)-(2(2x-3))/(x^(3)-3x^(2)+2x)]

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  20. निकालें lim(xrarr1)[(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

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