\(\lim_{x \to \infty} \left(\sum_{k=1}^{48}\frac{x^2}{(kx+1)(kx+x+1)}\right)\)

Algebra Level 2

What is the value of the limit \[\lim_{x \to \infty} \left(\sum_{k=1}^{48}\frac{x^2}{(kx+1)(kx+x+1)}\right)?\]

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