lim→-2 tan(πx)/x+2
lebih jelas ada di gambar
lebih jelas ada di gambar
Aturan L'Hospital
[tex] = \lim \limits_{x \to - 2} \frac{ \tan(\pi x) }{x + 2} [/tex]
(Turunkan...)
[tex] = \lim \limits_{x \to - 2} \frac{\pi \sec {}^{2} (\pi x) }{1} [/tex]
[tex] = \lim \limits_{x \to - 2}\pi \sec {}^{2} (\pi x) [/tex]
[tex] = \pi \sec {}^{2} (\pi.( - 2)) [/tex]
[tex] = \pi \sec {}^{2} ( - 2\pi) [/tex]
[tex] = \pi \times {(1)}^{2} [/tex]
[tex] = \pi[/tex]
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