Consider the following statements: Statement 1: $\lim_{x \to 1} \frac{ax^2 + bx + c}{cx^2 + bx + a}$ is 1 (where $a + b + c \neq 0$). Statement 2: $\lim_{x \to -2} \frac{\frac{1}{x+2}}{\frac{1}{x+2}}$ is $\frac{1}{4}$.

Question

Consider the following statements:
Statement 1: $\lim_{x \to 1} \frac{ax^2 + bx + c}{cx^2 + bx + a}$ is 1 (where $a + b + c \neq 0$).
Statement 2: $\lim_{x \to -2} \frac{\frac{1}{x+2}}{\frac{1}{x+2}}$ is $\frac{1}{4}$.

Only statement 2 is true

Only statement 1 is true

Both statements 1 and 2 are true

Both statements 1 and 2 are false

Solution

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