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Verified answer
Lim (√(5 - x) - 2)(√(2 - x) + 1) / (x - 1x=>1
Lim (√(2 - x) + 1)/(x - 1) . (√(5 - x) - 2) . (√(5 - x) + 2)/(√(5 - x) + 2)
x=>1
Lim (√(2 - x) + 1) ((5 - x) - 4) / (x - 1)(√(5 - x) + 2)
x=>1
Lim (√(2 - x) + 1) (1 - x) / -(1 - x)(√(5 - x) + 2)
x=>1
Lim (√(2 - x) + 1) / -(√(5 - x) + 2)
x=>1
= (√(2 - 1) + 1) / -(√(5 - 1) + 2)
= (√1 + 1) / -(√4 + 2)
= 2/-4
= -1/2