lim x --> 1 [ 1-cos(x-1) ] / [ x^2 - 2x + 1 ]
Matematika
escaldiu
Pertanyaan
lim x --> 1
[ 1-cos(x-1) ] / [ x^2 - 2x + 1 ]
[ 1-cos(x-1) ] / [ x^2 - 2x + 1 ]
1 Jawaban
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1. Jawaban DB45
limt bentuk 0/0
lim(x->1) [ 1 - cos(x-1)] / [(x-1)²]
lim(x->1) [ 2 sin² 1/2 (x-1) ] / (x-1)²
= 2 (1/2)² (x-1)²/(x-1)²
= 2 (1/4)
= 1/2