Matematika tentukan nilai lim x -> 0 tan 7x + tan 3x / 4x . Mohon Bantunya kk​

tentukan nilai lim x -> 0 tan 7x + tan 3x / 4x . Mohon Bantunya kk​

Penjelasan dengan langkah-langkah:

[tex] = \lim \limits_{x \to0} \frac{ \tan(7x) + \tan(3x) }{4x} [/tex]

[tex] = \lim \limits_{x \to0}( \frac{ \tan(7x) }{4x} + \frac{ \tan(3x) }{4x} )[/tex]

[tex] = \lim \limits_{x \to0} \frac{ \tan(7x) }{4x} + \lim \limits_{x \to0} \frac{ \tan(3x) }{4x} [/tex]

[tex] = \frac{7}{4} + \frac{3}{4} [/tex]

[tex] = \frac{10}{4} = \frac{5}{2} [/tex]

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