The limit of (6x)⁴ˣ as x approaches 0 from the positive side is 1.
How to determine limiting value of an expression.
Given
lim x→0⁺ (6x)⁴ˣ
As x approaches 0 from the positive side, the expression (6x)⁴ˣ tends towards 1. This is because any non-zero base raised to the power of 0 approaches 1.
when
x = 0
(6x)⁴ˣ = (6x)⁴*⁰
= (6x)⁰ = 1
As x approaches 0 from the positive side in the expression (6x)⁴ˣ the result tends to 1.
Therefore, the limit of (6x)⁴ˣ as x approaches 0 from the positive side is 1.