Working out limits: laws, 0 over 0 and sine
Work out limits of sums and products from graphs, open up the 0 over 0 form by factorising and cancelling, and meet the sine limit.
- سوريا: الصف ١١
- فلسطين: الصف ١١
- إيران: الصف ١١
- أفغانستان: الصف ١٢
- روسيا: الصف ١٠
- فرنسا: الصف ١٢
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
The limit of a sum, difference or product of two functions is the sum, difference or product of their limits: lim(f·g) = limf·limg. So read each function's limit separately.
If putting the number in gives ٠٠, you do not have an answer yet. Factorise the top and the bottom, cancel the common factor that is zero, and put the number in again.
For small angles, sin x is almost x. That is why lim(x→٠)sin x ÷ x = ١ and, for any number k, lim(x→٠)sin kx ÷ x = k.