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If f(x)= sqrt(9-x^2)" then " underset(x ...

If `f(x)= sqrt(9-x^2)" then " underset(x to 2)"Lt" (f(x)-f(2))/(x-2)" is "`

A

`3//sqrt5`

B

`-2//sqrt5`

C

0

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1B( One Sided Limits)
  1. If a gt 0" then " underset(x to oo)"Lt" ([ax+b])/(x)=

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  2. underset(x to oo)"Lt" ([x]+[2x]+[3x]+....+[nx])/(n^(2))=

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  3. underset(x to 0)"Lt" ([1^(2)x]+[2^(2)x]+[3^(2)x]+....+[n^(2)x])/(n^(3)...

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  4. underset(x to 1)"Lt" {1-x+[x-1]+[1-x]}" is "

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  5. underset(x to 0)"Lt" {1-x+[x-1}+[1-x]}" is "

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  6. If f: R to R" is defined by f(x)"=[x-3]+[x-4]"for "x in R"then " unde...

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  7. If f(x) =(sin [x])/([x])" at "[x] ne 0 and f(x)=0" at "then " underset...

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  8. If f(x)={:(,(sin (1+[x]))/(x),"for "[x] ne 0),(,0,"for [x]=0"):} where...

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  9. Let f:R to R be a positive increasing function with underset(x to oo) ...

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  10. If f(x)= sqrt(9-x^2)" then " underset(x to 2)"Lt" (f(x)-f(2))/(x-2)" i...

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  11. If f(x)=-sqrt(25-x^(2))", then " underset(x to 1)"Lt" (f(x)-f(1))/(x-1...

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  12. If f(x)=x Tan^(-1) x" then "underset(x to 1)"Lt" (f(x-f(1))/(x-1)=

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  13. If f: RR to RR" is defined by f(x) {{:(,(x-2)/(x^(2)-3x+2),"if "x in ...

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  14. If f(x)f(x),{{:(,x-5,"for x"le 1),(,4x^(2)-8,"for "1 lt x lt 2"then "f...

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  15. If f(x) =x for x lt 0 =0 for x=0 =x^(2)"for "x gt 0" then "underse...

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  16. If f(x)= {{:(,2x+b,(x lt a)),(,x+d,(x ge a)):}" is such that " underse...

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  17. If f(x)={{:(,sin x,x ne npi, n in Z),(,,2,"otherwise"):} and g(x)={{:(...

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  18. If f(x)={{:(,1,(x lt 0)),(,2x+1,(x le 1)),(,3x,(x gt 1)):}" then "unde...

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  19. f(x)={{:(,x+2,(1 lt le 2)),(,x^(2),(2 lt x lt 5)):}" then "underset(x...

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  20. If f(x)={{:(,x//2,(x lt 2)),(,x^(2)//3,(x ge 2)):}"then " underset(x t...

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