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Tentukan nilai limit fungsi aljabar rasional berikut! a. x → 4 lim x 2 + x − 2 2 x + 1 − 3 x

Tentukan nilai limit fungsi aljabar rasional berikut!

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

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator square root of 2 x plus 1 end root minus 3 x over denominator x squared plus x minus 2 end fraction end cell equals cell fraction numerator square root of 2 open parentheses 4 close parentheses plus 1 end root minus 3 open parentheses 4 close parentheses over denominator open parentheses 4 close parentheses squared plus 4 minus 2 end fraction end cell row blank equals cell fraction numerator square root of 9 minus 12 over denominator 16 plus 4 minus 2 end fraction end cell row blank equals cell fraction numerator 3 minus 12 over denominator 18 end fraction end cell row blank equals cell fraction numerator negative 9 over denominator 18 end fraction end cell row blank equals cell negative 1 half end cell end table end style$