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underset(x to 4+)"Lt" {[x]+x}=...

`underset(x to 4+)"Lt" {[x]+x}=`

A

`-1`

B

3

C

8

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1B( One Sided Limits)
  1. underset(x to 0)"Lt" (2^(1//x)-1)/(2^(1//x)+1)=

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  2. underset(x to 3)"Lt" [x]=

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  3. underset(x to 4+)"Lt" {[x]+x}=

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  4. underset(x to 2-)"Lt" {[x]+x}=

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  5. underset(x to 5+)"Lt" {x-[x]}=

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  6. underset(x to 0+)"Lt" [x] sin"" 1/x=

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  7. underset(x to pi//2)"Lt" [sin x]=

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  8. If a gt 0" then " underset(x to oo)"Lt" ([ax+b])/(x)=

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

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

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

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

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

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

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

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

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

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

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

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

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