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Find 
lim_(x rarr3)(-4)/(2x-5).
Choose 1 answer:
(A) -4
(B) 
(4)/(11)
(c) 1
(D) The limit doesn't exist

Find limx342x5 \lim _{x \rightarrow 3} \frac{-4}{2 x-5} .\newlineChoose 11 answer:\newline(A) 4-4\newline(B) 411 \frac{4}{11} \newline(C) 11\newline(D) The limit doesn't exist

Full solution

Q. Find limx342x5 \lim _{x \rightarrow 3} \frac{-4}{2 x-5} .\newlineChoose 11 answer:\newline(A) 4-4\newline(B) 411 \frac{4}{11} \newline(C) 11\newline(D) The limit doesn't exist
  1. Substitute value of x: Substitute the value of xx into the limit expression.limx3(42x5)=4235\lim_{x \rightarrow 3}\left(\frac{-4}{2x-5}\right) = \frac{-4}{2\cdot 3-5}
  2. Perform arithmetic inside parentheses: Perform the arithmetic inside the parentheses. 2×35=65=12 \times 3 - 5 = 6 - 5 = 1
  3. Substitute result into expression: Substitute the result from Step 22 into the limit expression.41=4\frac{-4}{1} = -4
  4. Conclude the limit: Conclude the limit based on the calculations.\newlineThe limit as xx approaches 33 of 42x5\frac{-4}{2x-5} is 4-4.

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