(lim)(x->3)(x^4-81)/(2x^2-5x-3)...

`(lim)_(x->3)(x^4-81)/(2x^2-5x-3)`

Text Solution

Verified by Experts

The correct Answer is:

`(108)/(7)`

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Knowledge Check

underset(x to oo)lim (3x^(3)+x^(2)-1)/(x^(2)-x+7)=

A

0

B

1

C

`oo`

D

`-oo`

lim_(x to oo) ((2x^2+3x+4)/(x^2-3x+5))^((3|x|+1)/(2|x|-1)) =

A

`3/2`

B

`2sqrt2`

C

3

D

`sqrt2`

If 'a' is the point of discontinuity of the function f(x)= {{:(cos 2x , "for"-oo lt x lt 0),(e^(3x),"for " x le x lt 3),(x^2-4x+3, "for " 3 le x le 6),((log(15x-89))/(x-6),"for" x gt 6):} then , lim_(x to a)(x^2-9)/(x^3-5x^2+9x-9) =

A

1

B

0

C

6

D

3

Similar Questions

Explore conceptually related problems

Compute the following limits. Lt_(x to 3) (x^(4) - 81)/(2x^(2) - 5x - 3)

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Compute the following limits. lim_(x to oo)(3x^(5)-1)/(4x^(2)+1)

Evaluate the following limits in lim_(xrarr2)(3x^(2)-x-10)/(x^(2)-4)

underset(x to 2)lim {(1)/(x^(2)+x-6)-(1)/(2x^(2)-3x-2)}=

SRISIRI PUBLICATION-LIMITS & CONTINUITY-VSAQ(1 D STAR Q)

(lim)(x->3)(x^4-81)/(2x^2-5x-3)
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