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Verified answer
Jawablimit(x ->2) ( 4 - √(7x +2) ) / (x-2) =
limit(x ->2) (4- √(7x + 2)) (4 + √(7x +2)) / (x-2) ( 4 + √ (7x +2) )
limit (x->2) (16 - 7x + 2) / (x -2) (4 + √( 7x +2 ))
limit (x -> 2) (14 - 7x ) / (x - 2) (4 + √( 7x + 2))
limit (x -> 2) -7(x - 2) / (x - 2 ). (4 + √ (7x + 2))
limit (x ->2) - 7/ (4 + √(7x +2))
x = 2 ---> limit = -7/ ( 4 + √(14 +2) ) = - 7/(4 +4)
limit = -7/8