Matematika

Pertanyaan

Nilai [tex] \lim_{x \to \ \frac{ \pi }{2} } \frac{sin (x - \frac{ \pi }{2}) }{ \sqrt{ \frac{ \pi }{2} } - \sqrt{ \frac{ \pi }{4} } } [/tex] = ....

A. [tex]4 \sqrt{ \pi } [/tex]
B. [tex]3 \sqrt{ \pi } [/tex]
C. [tex]2 \sqrt{ \pi } [/tex]
D. [tex] \sqrt{ \pi } [/tex]
E. [tex] \frac{1}{2} \sqrt{ \pi } [/tex]

Help!!

1 Jawaban

  • jawab

    limit (x->π/2) [ sin ( x - π/2) / [√(π/2) - √(π/4)]
    sub x = π/2  

    sin (π/2 - π/2) / (√(π/2) - √(π/4)) =
    = sin 0 /(√π/2 - √π/4)
    = 0

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