Pertanyaan

Tunjukkan dengan pendekatan nilai pada limit pada fungsi berikut: b. x → 2 lim 2 x x 2 + 4 = ( lim x → 2 2 ) + ( lim x → 2 x ) ( lim x → 2 x ) 2 + ( lim x → 2 4 )

Tunjukkan dengan pendekatan nilai pada limit pada fungsi berikut:

b. $x \to 2 lim \frac{x ^{2} + 4}{2 x} = \frac{( lim _{x \to 2} x ) ^{2} + ( lim _{x \to 2} 4 )}{( lim _{x \to 2} 2 ) + ( lim _{x \to 2} x )}$

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator x squared plus 4 over denominator 2 x end fraction end cell equals cell fraction numerator left parenthesis limit as x rightwards arrow 2 of x right parenthesis squared plus left parenthesis limit as x rightwards arrow 2 of 4 right parenthesis over denominator left parenthesis limit as x rightwards arrow 2 of 2 right parenthesis plus left parenthesis limit as x rightwards arrow 2 of x right parenthesis end fraction end cell row blank equals cell fraction numerator 2 squared plus 4 over denominator 2 plus 2 end fraction end cell row blank equals cell 8 over 4 end cell row blank equals 2 end table end style$