When x approaches to +∞ the function e^3x becomes much bigger then e^−3x, which obviously means that e^−3x can be neglected in both numerator and denominator. Here's how I figured this out:
lim x →+∞ = (e^(3x))− (e^(−3x)) / (e^3x)) + (e^(−3x)) = lim x → +∞ e^3x / e^3x = 1
Answer:When x approaches to +∞ the function e^3x becomes much bigger then e^−3x, which obviously means that e^−3x can be neglected in both numerator and denominator.
