f(x)=(6x+5)/(2-sqrt(14+5x)) We want to find lim_(x rarr-2)f(x). What happens when we use direct substitution? Choose 1 answer: (A) The limit exists, and we found it! (B) The limit doesn't exist (probably an asymptote). (C) The result is indeterminate.

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f(x)=(6x+5)/(2-sqrt(14+5x)) We want to find  lim_(x rarr-2)f(x). What happens when we use direct substitution? Choose 1 answer: (A) The limit exists, and we found it! (B) The limit doesn't exist (probably an asymptote). (C) The result is indeterminate.

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Substitute x with -2: Substitute x with -2 in the function f(x) to see if direct substitution is possible. f(x) = (6x + 5) / (2 - sqrt(14 + 5x)) f(-2) = (6(-2) + 5) / (2 - sqrt(14 + 5(-2)))Perform calculations after substitution: Perform the calculations inside the function after substitution. f(-2) = (-12 + 5) / (2 - sqrt(14 - 10)) f(-2) = (-7) / (2 - sqrt(4)) f(-2) = (-7) / (2 - 2)Simplify the result of substitution: Simplify the result of the substitution to identify any issues. f(-2) = (-7) / (0) We have a division by zero situation, which means the function is undefined at x = -2.Determine behavior of the limit: Determine the behavior of the limit based on the result of direct substitution. Since we have a division by zero, the limit does not exist due to a potential vertical asymptote at x = -2.

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