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A function phi(x) is defined as follows ...

A function `phi(x)` is defined as follows :
`phi(x){:(= 2," when"xne1),(= 0," when"x=1):}`
Does `underset(xrarr1)"lim"phi(x)` exist ? If so , find its value .

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CHHAYA PUBLICATION-LIMIT-EXERCISE 2 (Very Short Answer Type Questions )
  1. Prove that : underset(xrarr3)"lim"(x^(2)-9)/(x-3)=6

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  2. If f(x)=sqrt(x-3), " does "underset(xrarr3)"lim"f(x) exist ? Give rea...

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  3. A function phi(x) is defined as follows : phi(x){:(= 2," when"xne1)...

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  4. If f(x)=(|x|)/(x),"show that ,"underset(xrarr0)"lim"f(x) does not ex...

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  5. Evaluate the following limits : underset(xrarr2)"lim"(x(x^(2)-4))/...

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  6. Evaluate the following limits : underset(hrarr1)"lim"(h^(2)+2h-3)/(...

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  7. Evaluate the following limits : underset(hrarr-(1)/(2))"lim"(6x^(2)...

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  8. Evaluate the following limits : underset(urarr-3)"lim"[(1)/(u+3)+(6...

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  9. Evaluate the following limits : underset(xrarr1)"lim"(x^(3)-1)/(x^(...

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  10. Evaluate the following limits : underset(xrarr1)"lim"(x^(2)+5x-6)/(...

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

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

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

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

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

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

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

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

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

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

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