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Calculate lim(x to 0) f(x), where f(x) =...

Calculate `lim_(x to 0) f(x)`, where `f(x) = (1)/(x^(2))` for `x gt 0`

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The correct Answer is:
`+ oo`
Domain of the function is given to be all + ve real numbers
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AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -Try yourself
  1. Calculate lim(x to 2) , where f(x) = {{:(3 if ,x le 2),(4 if, x gt 2):...

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  2. Calculate lim(x to 0) f(x), where f(x) = (1)/(x^(2)) for x gt 0

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  3. Find lim(x to 1) f(x), where f(x) = {{:(x + 1, x != 1),(0, x = 1):}}

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  4. Find lim(X to 0) f(x) where f(x) = {{:(x, x!=0),(5,x=0):}}

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  5. Evalute (i) lim(x to 1) [(x)/(2)] (ii) lim(x to 2) [x^(2) - 5]

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  6. Evalute lim(x to 3) [9x - 14]

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  7. Evaluate lim(x to 1) [3x^(4) + 4]

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  8. Evaluate lim(x to 3) [4x^(3) + 3x^(2) + 2x + 6]

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  9. Evaluate lim(x to 0) [(3x^(2) + 4x + 5)/(x^(2) - 2x + 3)]

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  10. Evaluate lim(x to 2) [(x^(2) - 4)/(2x + 2)]

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  11. Evaluate underset(x to 1)(lim) (1 + (x - 1)^(2))/(1 + x^(2))

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  12. Evaluate lim(x to a) (sqrt(x) + sqrt(a))/(x + a)

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  13. Evaluate underst(x to 2)(lim) (x^(2) + 2x - 8)/(x^(2) - 4)

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  14. Evaluate lim(x to 3) (x^(2) - 10x + 21)/(x^(2) - 9)

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  15. Evaluate lim(x to 1) (x^(3) - 1)/(x - 1)

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  16. Evaluate lim(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

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  17. Evaluate lim(x to 3) (x - 3)/(4x^(2) - 15x + 9)

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  18. Evaluate lim(x to 1//4) (4x - 1)/(2sqrt(x) - 1)

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

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  20. Evaluate lim(x to 2) (x^(2) - 4) [(1)/(x + 2) + (1)/(x - 2)]

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