||
Membaca
USM ITT 2010

Solusi USM IT Telkom 2010 Kode 11 – Nomor 20


Jika\ diketahui\ \lim\limits_{x \rightarrow 0} \frac{cos(x)-1}{x}=0\ dan\ \lim\limits_{x \rightarrow 0} \frac{sin(x)}{x}=1\ maka\\\\nilai\ \lim\limits_{h \rightarrow 0} \frac{sin(x)cos(h)+cos(x)sin(h)-sin(x)}{h}\ adalah\ ....
(A)\quad cos(x)\\(B)\quad sin(x)\\(C)\quad tan(x)\\(D)\quad 1\\(E)\quad 0
Jawaban: A

\begin{array} {rcl} \lim\limits_{h \rightarrow 0} \frac{sin(x)cos(h)+cos(x)sin(h)-sin(x)}{h}&=&\lim\limits_{h \rightarrow 0} \frac{sin(x+h)-sin(x)}{h}\\\\&=&\frac{d}{dx}\Big(sin(x)\Big)\\\\&=&cos(x)\end{array}

About Kalakay

Guru Matematika SMK

Diskusi

Belum ada komentar.

Tinggalkan Balasan

Isikan data di bawah atau klik salah satu ikon untuk log in:

Logo WordPress.com

You are commenting using your WordPress.com account. Logout / Ubah )

Gambar Twitter

You are commenting using your Twitter account. Logout / Ubah )

Foto Facebook

You are commenting using your Facebook account. Logout / Ubah )

Foto Google+

You are commenting using your Google+ account. Logout / Ubah )

Connecting to %s

%d blogger menyukai ini: