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Show that ("lim")(x->0)\ e^(-1//x) does ...

Show that `("lim")_(x->0)\ e^(-1//x)` does not exist.

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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following one sided limit: ("lim")(x->pi/2^-)tanx

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  2. Evaluate the following one sided limit: ("lim")(x->-2^+)\ (x^2-1)/(2x+...

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  3. Show that ("lim")(x->0)\ e^(-1//x) does not exist.

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  4. Find : ("lim")(x->2)[x]

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  5. Find : ("lim")(x->5/2)\ [x]

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  6. Find : ("lim")(x->1)[x]

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  7. Find : ("lim")(x->3^+)x/([x]) . Is it equal to : ("lim")(x->3^-)x/([x]...

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  8. Find : ("lim")(x->-5//2)\ [x]dot

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  9. Evaluate: (lim)(x->1)3x^2+4x+5

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  10. Evaluate : (lim)(x->0)(sqrt(1+x)+sqrt(1-x))/(1+x)

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  11. Evaluate the following limit: underset( x rarr 1) ( "lim") (x^2+1)/(x+...

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  12. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(x+8))/...

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  13. Evaluate the following limit: underset( x rarr - 1) ( "lim")(4x^2+2)

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  14. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^2-2)/(x+2...

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  15. Evaluate the following limit: underset( x rarr 0) ( "lim")(2x^2+3x+4)/...

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  16. Evaluate the following limit: underset( x rarr a) ( "lim")(sqrt(x)+sqr...

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  17. Evaluate the following limit: underset( x rarr - 1) ( "lim")(x^3-3x+1)...

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  18. Evaluate the following limit: underset( x rarr 0) ( "lim")(a x+b)/(c x...

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  19. Evaluate the following limit: underset( x rarr 3) ( "lim")(sqrt(2x+3))...

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  20. Evaluate the following limit: underset( x rarr 1) ( "lim")(1+(x-1)^2)/...

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