To determine
To find: The limit of limx→0sinxx=1.
Answer
The value of limx→0sin5x3x is 53.
Explanation
Result used:
The value of limθ→0sinθθ=1
Calculation:
Compute limx→0sin5x3x.
Divide the numerator and denominator by 5,
limx→0sin5x3x=limx→05⋅sin5x5⋅3x=limx→05⋅sin5x3⋅5x=53(limx→0sin5x5x)
Use the Result stated above and simplify further,
limx→0sin5x3x=53(limx→0sin5x5x)=53(1)=53
Therefore, the value of limx→0sin5x3x is 53.