Find lim_(x rarr2)(x+2)/(x-2). Choose 1 answer: (A) 4 (B) 1 (c) 0 (D) The limit doesn't exist

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Find  lim_(x rarr2)(x+2)/(x-2). Choose 1 answer: (A) 4 (B) 1 (c) 0 (D) The limit doesn't exist

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Substitute and Calculate: Substitute x with 2 in the function (x+2)/(x-2). lim_(x rarr2)(x+2)/(x-2) = (2+2)/(2-2)Identify Undefined Expression: Calculate the numerator and the denominator separately. Numerator: 2+2 = 4 Denominator: 2-2 = 0Analyzing Limit Behavior: We observe that the denominator becomes 0, which means the expression is undefined at x=2. This indicates a potential limit issue, as division by zero is not allowed.Approaching from Left: Since the denominator is 0, we cannot directly calculate the limit by substitution. We need to analyze the behavior of the function as x approaches 2 from both the left and the right.Approaching from Right: As x approaches 2 from the left (x < 2), the numerator (x+2) approaches 4, and the denominator (x-2) approaches a number slightly less than 0, making the fraction negative and very large in magnitude.Limit Does Not Exist: As x approaches 2 from the right (x > 2), the numerator (x+2) approaches 4, and the denominator (x-2) approaches a number slightly more than 0, making the fraction positive and very large in magnitude.Since the function approaches a large negative value from the left and a large positive value from the right, the limit does not exist because the left-hand limit and the right-hand limit are not equal.

Find $\lim _{x \rightarrow 2} \frac{x+2}{x-2}$ . $\newline$ Choose $1$ answer: $\newline$ (A) $4$ $\newline$ (B) $1$ $\newline$ (C) $0$ $\newline$ D The limit doesn't exist

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Find lim⁡x→2x+2x−2 \lim _{x \rightarrow 2} \frac{x+2}{x-2} limx→2​x−2x+2​.\newlineChoose 111 answer:\newline(A) 444\newline(B) 111\newline(C) 000\newlineD The limit doesn't exist

Find $\lim _{x \rightarrow 2} \frac{x+2}{x-2}$ . $\newline$ Choose $1$ answer: $\newline$ (A) $4$ $\newline$ (B) $1$ $\newline$ (C) $0$ $\newline$ D The limit doesn't exist