Nilai dari lim_(x rarr2)(x^(2)-2x)/(x^(2)-4)=

0.5

The given expression is a limit question. It asks us to find the limit as x approaches 2 for the fraction (x^2-2x)/(x^2-4). To find this limit, we can first see that direct substitution would lead to a division by zero. Therefore, we seek to simplify this before substituting. We can factor the numerator and the denominator. The numerator factors into x(x-2) and the denominator into (x-2)(x+2). We can then cancel the common factor of (x-2). We then substitute x = 2 into the simplified expression, which now contains no zero denominators.