Question
limx→2√x−2+√x−√2√x2−4 is equal to
Answer: Option A
:
A
limx→2√x−2+√x−√2√x2−4
=limx→2(√x−2√x+2√x−2+√x−√2√x2−4)
On rationalisation -
=limx→2(1√x+2+x−2√x2−4(√x+√2))
=limx→21√x+2+limx→2√x−2x+2×1√x+√2
=12
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:
A
limx→2√x−2+√x−√2√x2−4
=limx→2(√x−2√x+2√x−2+√x−√2√x2−4)
On rationalisation -
=limx→2(1√x+2+x−2√x2−4(√x+√2))
=limx→21√x+2+limx→2√x−2x+2×1√x+√2
=12
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