Try Out 2 Matematika Ipa 2019 No 22

Try Out Matematika IPA 2019
Soal dan Pembahasan Try Out Matematika IPA 2019
Jawaban Try Out Matematika IPA 2019

22. Nilai dari limit x → 3 (x² - x - 6) / ( 4 - √(2x + 10)) yaitu ...

A. -20
B. -10
C. 10
D. 20
E. 40



Jawaban : A

(x² - x - 6) = (x-3) (x+2)

(x-3) (x+2)
--------------
4 - √(2x + 10)

    (x-3) (x+2) . (4 + √(2x + 10)
= -----------------------------------
              16 - 2x - 10

    (x-3) (x+2) (4 + √(2x + 10)
= ----------------------------------
                  2 (3 - x)

    (x-3) (x+2) (4 + √(2x + 10)
= ----------------------------------
                  - 2 (x - 3)

limit x→ 3

= (3+2) ( 4 + √16) / -2
= 5 . 8 / -2
= -20

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