Question

Limit Fungsi Tak Hingga​

Answer 1

Verified answer

PEMBAHASAN

Limit Tak Hingga

no. 1

lim x→∞ (2x - 1) - √(4x² + 10x - 5)

= lim x→∞ √(2x - 1)² - √(4x² + 10x - 5)

= lim x→∞ √(4x² - 4x + 1) - √(4x² + 10x - 5)

= (-4 - 10)/(2√4)

= -14/4

= -7/2

= -3,5

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no. 2

lim x→∞ (2x + sin x)/(x - cos 2x)

= lim x→∞ x(2 + (sin x /x)) / x(1 - (cos 2x / x))

= lim x→∞ (2 + (sin x /x)) / (1 - (cos 2x / x))

= (2 + sin x/∞) / (1 - cos 2x/∞)

= (2 + 0) / (1 - 0)

= 2