5 Minutes With Jesus: Quiet Time for Your Soul

5 Minutes With Jesus: Quiet Time for Your Soul

Matematika lim x->0 sin(x-2) / x^2-4
tolong dengan cara dan penjelasan ​

lim x->0 sin(x-2) / x^2-4
tolong dengan cara dan penjelasan ​

Jawab:

Penjelasan dengan langkah-langkah:

[tex]\sf lim_{x\to 2}\dfrac{sin(x - 2)}{x^2 -4}[/tex]

[tex]\sf lim_{x\to 2}\dfrac{sin(x - 2)}{(x- 2)(x + 2)}[/tex]

[tex]\sf lim_{x\to 2}\dfrac{sin(x - 2)}{(x- 2)} . \ lim_{x\to 2}\dfrac{1}{x+2}[/tex]

[tex]\sf = 1 + \frac{1}{2+2} = 1+\frac{1}{4}[/tex]

[tex]\sf = \frac{5}{4}[/tex]

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