limit

lim x→2 (√x-2+√x-√2)/√x2-4

2 Answers

11
Devil ·

Apply the L-hospital rule to get Numerator as
12{(x-2)-1/2+x-1/2}(x2-4)1/2
Denominator turns out to be x....
Thus limit comes out as 12.......if I've not done any calculation mistake....

1
aieeee ·

also,cn separate the limits and write as;
1/√x+2 + √x-√2/√x2-4
now,multiply and divide √x+√2 in the 2nd limit,u'll get the 2nd limit 0.
thus limit=1/2 putting limits in the 1st one

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