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Let lim⁡x→1(v(x))=2\lim_{x\to1}(v(x))=2. find lim⁡x→1+(v(x))\lim_{x\to1^+}(v(x)) and lim⁡x→1−(v(x))\lim_{x\to1^-}(v(x))

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Q. Let lim⁡x→1(v(x))=2\lim_{x\to1}(v(x))=2. find lim⁡x→1+(v(x))\lim_{x\to1^+}(v(x)) and lim⁡x→1−(v(x))\lim_{x\to1^-}(v(x))
  1. Approaching Value 22: Since lim⁡x→x1(v(x))=2\lim_{x\to x_1}(v(x)) = 2, it implies that the function v(x)v(x) approaches the value 22 as xx gets closer to x1x_1 from either side.
  2. Limit from Right Side: To find lim⁡x→x1+(v(x))\lim_{x\to x_1^+}(v(x)), we consider the limit from the right side of x1x_1. Since the overall limit as xx approaches x1x_1 is 22, the right-hand limit is also 22.
  3. Limit from Left Side: Similarly, to find lim⁡x→x1−(v(x))\lim_{x\to x_1^-}(v(x)), we consider the limit from the left side of x1x_1. The left-hand limit is also 22, as the overall limit is 22.

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