Pertanyaan

N i l ai d a r i x → 0 lim x − 3 x − 3 = ....

$N i l ai d a r i x \to 0 lim \frac{x - 3}{x - 3} = ....$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction equals limit as x rightwards arrow 0 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction cross times fraction numerator square root of x plus square root of 3 over denominator square root of x plus square root of 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of fraction numerator left parenthesis x minus 3 right parenthesis left parenthesis square root of x plus square root of 3 right parenthesis over denominator left parenthesis square root of x minus square root of 3 right parenthesis left parenthesis square root of x plus square root of 3 right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of fraction numerator left parenthesis x minus 3 right parenthesis left parenthesis square root of x plus square root of 3 right parenthesis over denominator x minus 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses square root of x plus square root of 3 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 3$