Question
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Answer
当
接近 7 时,表达式
的极限是
。
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Mind Expander
To solve the limit
, we can start by substituting
directly into the expression. This gives us
, which is indeterminate.
To resolve this, we can use algebraic manipulation by multiplying the numerator and denominator by the conjugate of the numerator:
Now we can cancel out the
term (for
):
Next, we can substitute
again to find the limit:
Thus, the final answer is: