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If `f : R rarr R` is defined by f(x) = [x-3]+|x-4| for `x in R`, then `lim_(x rarr 3^(-)) f(x)` is equal to

A

(-2)

B

(-1)

C

0

D

1

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. If f(x) = {((sin(1+[x]))/([x]), for [x] ne 0),(0, for [x] = 0):} , wh...

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  3. If f : R rarr R is defined by f(x) = [x-3]+|x-4| for x in R, then lim(...

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  4. lim(x rarr 0) ((1-e^(x))sin x)/(x^(2)+x^(3)) =

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  5. lim(x rarr 0) (sqrt(1+x)-1)/x =

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  6. If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...

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  7. The value of lim(x rarr k^(-)) x -[x], where k is an integer, is

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  8. The value of lim(x rarr 0) (1-cos(1-cosx))/(x^(4)) is

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  9. lim(x rarr 3)[x] =

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  10. lim(x rarr 1) (x^(8)-2x+1)/(x^(4)-2x+1) =

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  11. If f(x) = sqrt((x-sinx)/(x+cos^(2)x)), then lim(x rarr oo) f(x) =

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  12. lim(n rarr oo) (1+(sin) a/n)^(n) equals

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  13. lim(x rarr 0) (4^(x)-1)/(3^(x)-1) =

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  14. The value of lim(n rarr oo){1/1.3+1/3.5+1/5.7+...+1/((2n+1)(2n+3))} is

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  15. The valueof lim(x rarr 0) (e^(ax)-e^(bx))/x is

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  16. If S(1) = sumn, S(2) = sumn^(2), S(3) = sumn^(3) then lim(n rarr oo) (...

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  17. The value of lim(x rarr 0) ((4^(x)-1)^(3))/(sin(x^(2)/4) log (1+3x)) ...

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  18. lim(x rarr 0) x log(e) (sinx) is equal to

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  19. The value of lim(n rarr pi/2) (cotx-cosx)/((pi-2x)^(3)) , is

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  20. The value of lim(x rarr oo) (sinx)/(x) is

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