You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>Consider the problem of finding the solution to the system of one "simultaneous" nonlinear equation $f_1(x)=x e^{-x}=0$ by Newton-Raphson iteration. Determine for which values of the starting point x0, the function will converge.
<image 1>
A. When $x_0$ is greater than 1
B. When $x_0$ is equal to 1
C. When $x_0$ is less than 1
D. When $x_0$ is equal to 0

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
C
Consider the problem of finding the solution to the system of one "simultaneous" nonlinear equation $f_1(x)=x e^{-x}=0$ by Newton-Raphson iteration. Determine for which values of the starting point x0, the function will converge.
<image 1>
A. When $x_0$ is greater than 1
B. When $x_0$ is equal to 1
C. When $x_0$ is less than 1
D. When $x_0$ is equal to 0

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val