Question:
The value of
ₓₒ₀((4ˣ-1)³)/(x²(1+3x))
is
The value of
ₓₒ₀((4ˣ-1)³)/(x²(1+3x))
is
Show Hint
Use first-order expansions for limits.
Updated On: Mar 17, 2026
- (4)/(3)(\ln4)²
- (4)/(3)(\ln4)³
- (3)/(2)(\ln4)²
- (3)/(2)(\ln4)³
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The Correct Option is B
Solution and Explanation
Using standard limits:
4ˣ-1 x\ln4, (1+3x)\sim3x
Thus:
=((x\ln4)³)/(x²·3x)
=((\ln4)³)/(3)
=(4)/(3)(\ln4)³
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