Pertanyaan

N i l ai d a r i x → 2 lim x 2 − 4 ( 2 x + 1 ) tan ( x − 2 ) = ...

$N i l ai d a r i x \to 2 lim \frac{( 2 x + 1 ) tan ( x - 2 )}{x ^{2} - 4} = ...$

5
2,5
2
1,5
1,25

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow p of fraction numerator left parenthesis 2 x plus 1 right parenthesis space space tan invisible function application left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction equals limit as x rightwards arrow 2 of fraction numerator left parenthesis 2 x plus 1 right parenthesis space space tan invisible function application left parenthesis x minus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction equals limit as x rightwards arrow 2 of left parenthesis 2 x plus 1 right parenthesis. limit as x rightwards arrow 2 of fraction numerator tan begin display style invisible function application end style begin display style left parenthesis end style begin display style x end style begin display style minus end style begin display style 2 end style begin display style right parenthesis end style over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction equals limit as x rightwards arrow 2 of left parenthesis 2 x plus 1 right parenthesis. limit as x rightwards arrow 2 of fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis end fraction equals left parenthesis 2 left parenthesis 2 right parenthesis plus 1 right parenthesis. fraction numerator begin display style 1 end style over denominator 2 plus 2 end fraction equals 5 over 4 equals 1 comma 25$