Mohon bantuannya. Please:((( 1. Nilai lim t→2 (t^3-4t^2+4t) csc^2 (5t-10) sama dengan... 2. Nilai lim x→0 54x^2 sin 2x/tan^3 3x sama dengan... 3. Nilai lim x→π
Matematika
adinnala
Pertanyaan
Mohon bantuannya. Please:(((
1. Nilai lim t→2 (t^3-4t^2+4t) csc^2 (5t-10) sama dengan...
2. Nilai lim x→0 54x^2 sin 2x/tan^3 3x sama dengan...
3. Nilai lim x→π tan(π/3-x) sama dengan...
1. Nilai lim t→2 (t^3-4t^2+4t) csc^2 (5t-10) sama dengan...
2. Nilai lim x→0 54x^2 sin 2x/tan^3 3x sama dengan...
3. Nilai lim x→π tan(π/3-x) sama dengan...
1 Jawaban
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1. Jawaban xkuadratz
[tex] \lim_{t \to 2} (t^3-4t^2+4t) csc^2 (5t-10) \\ \\ \lim_{t \to 2} \frac{(t^3-4t^2+4t)}{sin^2(5t-10)} \\ \\ \lim_{t \to 2} \frac{(t(t-2)(t-2))}{sin^25(t-2)}= \frac{t}{5}= \frac{2}{5} [/tex]