limx tends to 2 (x^2-2/x-2)
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Answer:
lim
x→
2
(
x
2
+
2
x−4
x
2
−2
)
=lim
x→
2
(
(x
2
−4)+
2
x
x
2
−2
)×(
(x
2
−4)−
2
x
(x
2
−4)−
2
x
)
=lim
x→
2
(
(x
2
−4)
2
−2x
2
(x
2
−2)[(x
2
−4)−
2
x]
)
=lim
x→
2
(
x
4
−8x
2
+16−2x
2
(x
2
−2)[(x
2
−4)−
2
x]
)
=lim
x→
2
(
x
2
(x
2
−8)−2(x
2
−8)
(x
2
−2)[x
2
−4−
2
x]
)
=lim
x→
2
(
(x
2
−8)(x
2
−2)
(x
2
−2)[x
2
−4−
2
x]
)
=(
−6
2−4−2
)
=(
3
2
)
Step-by-step explanation:
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