<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Taylorning (1+2x) / (-1-x^3) qatorini topishingiz mumkinmi?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Taylor ketma-ketligi - bu funksiyalarning bitta nuqta atrofidagi kengayishi. Siz uni kengayishi kerak bo'lgan nuqtani ham ko'rsatishingiz kerak. Umuman olganda, f'(x) funksiyasining Taylor ketma-ketligi x=a nuqtada f'(x) = f(a) + f'(a) * (x-a) + 1/2! * f'(a) * (x-a) ^2<|eot_id|>