Pertanyaan

Limit fungsi x → 2 lim 2 x 2 − 7 x + 6 x 2 + x − 6

Limit fungsi

$x \to 2 lim \frac{x ^{2} + x - 6}{2 x ^{2} - 7 x + 6}$

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator 2 x squared minus 7 x plus 6 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike over denominator open parentheses 2 x minus 3 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses over denominator open parentheses 2 x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 2 plus 3 over denominator 2 times 2 minus 3 end fraction end cell row blank equals cell 5 over 1 equals 5 end cell end table end style$