Question
32. \( \lim _{x \rightarrow 1}\left(4 x^{3}-6 x+5\right) \)
Ask by Griffin Higgins. in Thailand
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\lim_{x \rightarrow 1}\left(4x^3 - 6x + 5\right) = 3
\]
Solution
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Mind Expander
To find the limit \( \lim _{x \rightarrow 1}\left(4 x^{3}-6 x+5\right) \), we can simply substitute \( x = 1 \) directly into the expression since it's a polynomial and continuous everywhere. Calculating it step-by-step: \[ 4(1)^3 - 6(1) + 5 = 4(1) - 6 + 5 = 4 - 6 + 5 = 3. \] Thus, the limit is \( 3 \).
