lim𝑥→𝜋3(tan𝑥)=x→ 3π lim (tanx)=A.1B.33 C.Does not existD.-3- 3 E.- 1SUBMITarrow_backPREVIOUS
Question
lim𝑥→𝜋/3(tan𝑥)=x→ 3π
lim (tanx) =
A. 1
B. 33
C. Does not exist
D. -3
E. -1
Solution
The limit of a function as x approaches a certain value is the value that the function approaches as x gets closer and closer to that value.
In this case, we are looking for the limit of the function tan(x) as x approaches π/3.
The value of tan(π/3) is √3, which is approximately 1.732.
Therefore, the limit of tan(x) as x approaches π/3 is √3.
So, none of the given options A, B, C, D, E are correct. The correct answer is √3.
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