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Find:-- lim x 2 - 4 x→2. ---------------- √x+2 - √3x-2

Find:--
lim              x2 - 4
x→2.       ----------------    
               √x+2 - √3x-2   

Grade:12

1 Answers

Vikas TU
14149 Points
4 years ago
Rationalise it or apply H-sopital.
=> (x^2-4)*  (√x+2 + √3x-2)/ (x+2 - 3x + 2)
=> (x^2-4)* (√x+2 + √3x-2)/(-2x +4)
=>(x-2) (x+2) (√x+2 + √3x-2)/-2(x-2)
=> -2(x+2) (√x+2 + √3x-2)
Simply Now put x = 2 to get the final limit.

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