Limit of \( \displaystyle \frac{4 x^{2} - 9}{2 x + 3} \) as \( x \to - \frac{3}{2} \)

Problem 1.259 · medium

1. \[ \lim_{x \to - \frac{3}{2}^+}\left(\frac{4 x^{2} - 9}{2 x + 3}\right) \]
   limitStart with the limit of the function as x approaches -3/2 from the right.✓ Proved
2. \[ = \lim_{x \to - \frac{3}{2}^+}\left(2 x - 3\right) \]
   factor cancelFactor the numerator using the difference of squares. Cancel the common factor (2*x + 3) in the numerator and denominator.✓ Proved
3. \[ = -6 \]
   limitEvaluate the limit by substituting x = -3/2.✓ Proved