lim (x3+3x2-9x-2)/(x3-x-6)

x --2

the given limit is : limx2x3+3x2-9x-2x3-x-6
which is of the form 0/0.
factorise the polynomial as (x-2) is a common factor of both numerator and denominator.

this can be done by L'HOSPITAL rule also:
differentiate the numerator and denominator and substitute the value of x as 2.

hope this helps you.

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