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Does underset(xrarr4)"lim"sqrt(4-x) exi...

Does `underset(xrarr4)"lim"sqrt(4-x)` exist ?

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The correct Answer is:
No
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A function f (x) is defined as follwos : f(x) {:(=1,","" when " xne0),(=0,","" when " x=0):} Does underset(xrarr0)"lim"f(x) exist ?

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 .

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

Does underset(xrarr2)"lim"(x^(2)-4)/(x-2) exist If so , find its value .

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

underset(xrarr0)"lim"(sinx)/(sqrt(x)) is -

underset(xrarr1)"lim"(x-1)/(sqrt(x)-1)= ?

Draw the graph of the function f(x)=(|x|)/(x) and from the graph discuss whether underset(xrarr0)"lim"f(x) Exist or not

Draw the graph of y=f(x)=(x^(2))/(x) and from the graph examine whether underset(xrarr0)"lim"f(x) exists or not .

Let f(x){:(=1,",""for "xgt0),(=x^(2),",""for "xle0):} ,discuss whether underset(xrarr0)"lim"f(x) exists or not .

CHHAYA PUBLICATION-LIMIT-EXERCISE 2 ( Long Answer Type Questions)
  1. Do the following limits exist ? underset(xrarrpi)"lim"(1)/(pi-x)

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  2. Do the following limits exist ? underset(xrarr0)"lim""Xcos"(1)/(x)

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  3. Does underset(xrarr4)"lim"sqrt(4-x) exist ?

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  4. Does underset(xrarr4)"lim"sqrt(4-x) exist ?

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  5. Prove : underset(xrarr0)"lim""xcos"(1)/(x)=0

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  6. Prove : underset(xrarr0)"lim"x^(2)"sin"(1)/(x)=0

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  7. Prove : underset(xrarr0)"lim"(x^(2)sin^(1/x))=0

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  8. Prove : underset(xrarroo)"lim"(sinx)/(x)=0

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  9. Prove : underset(xrarroo)"lim"(cosx)/(x)=0

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  10. Putting z=x-(pi)/(4)" show that "underset(xrarr(pi)/(4))"lim"(1-tanx)/...

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  11. Putting x=theta-(pi)/(4)" prove that "underset(thetararr(pi)/(4))"lim"...

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  12. A function f (x) is defined as follwos : f(x){:(=1,","" when " xne0...

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  13. Prove : underset(xrarr1)"lim"(4^(x)-4)/(x-1)=8log(e)2

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  14. Prove : underset(xrarr2)"lim"(log(2x-3))/(2(x-2))=1

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  15. If underset(xrarr0)"lim"(1+x)^(1//x)=e , show that underset(xrarr0...

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  16. If underset(xrarr0)"lim"(1+x)^(1//x)=e , show that underset(xrarr0...

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  17. If underset(xrarr0)"lim"(1+x)^(1//x)=e , show that underset(xrarr1...

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  18. If underset(xrarr0)"lim"(1+x)^(1//x)=e , show that underset(xrarr0...

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  19. If f(x)=underset(nrarroo)"lim"(1)/(1+nsin^(2)pix) , find f (x) for all...

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  20. Prove : underset(xrarroo)"lim"(sinx)/(x)=0

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