Awas Lu Nyampah, Gw Ga Ikhlas Lahir Batin...

Awas lu nyampah, gw ga ikhlas lahir batin...

1. $\sf\lim\limits_{x \to 1}{x}^{2} + 2$

=1² + 2

=(1×1) + 2

=1 + 2

2. $\sf\lim\limits_{x \to 2}({x}^{2})$

=2²

=2×2

3. $\sf\lim\limits_{x \to 2}\frac{{x}^2 - 4}{{x}^{3} + 1}$

$=\frac{{2}^{2} - 4}{{2}^{3} + 1}$

$=\frac{2×2 - 4}{2×2×2+1}$

$=\frac{4 - 4}{8 + 1}$

$=\frac{0}{9}$

$=0$

4. $\sf\lim\limits_{x \to 3}\frac{{x}^{2} + 2x - 15}{x - 3}$

= $\sf\lim\limits_{x \to 3}\frac{{x}^{2} + 5x - 3x - 15}{x - 3}$

= $\sf\lim\limits_{x \to 3}\frac{x(x + 5) - 3(x + 5)}{x - 3}$

= $\sf\lim\limits_{x \to 3}\frac{(x + 5)(x - 3)}{x - 3}$

= $\sf\lim\limits_{x \to 3}\frac{(x + 5)\cancel{(x - 3)}}{\cancel{x - 3}}$

= $\sf\lim\limits_{x \to 3}x + 5$

=3 + 5

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