Find the limit for these problems as x approaches positive i

Find the limit for these problems as x approaches positive infinity.

f(x) = (1 - 3x^3) / ( 2x^3 - 6x + 2)

f(x) = (1 - 2x^3) / (x + 1 )

If Lim x --> 3 (9 - x^2) / ( x -3)

If Lim x --> 1 ( x^2 - 4x - 5) / ( X^2 - 1)

Solution

Using L\'hospital rule
a) -9x2/(6x2 -6)

= -18x/(12x)

= -3/2

b) => -6x2/1 = -

c) => -2x/1

= -6

d) (2x -4)/2x

= -1

Find the limit for these problems as x approaches positive infinity. f(x) = (1 - 3x^3) / ( 2x^3 - 6x + 2) f(x) = (1 - 2x^3) / (x + 1 ) If Lim x --> 3 (9 - x^

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