Limits

1. Standard Exponential Limit The most important exponential limit is: [\lim_{x→0} \dfrac{(e^{x}-1)}{x} = 1] Why this limit is important It

Practice Questions with Step-by-Step Solutions Question 1. Evaluate: [\lim_{x→0} \dfrac{(e^{\sin x}-1)}{(\sin x)}] Step-by-Step Solution: As [x→0]: [\sin x → 0]

Practice Questions – Exponential Limits of the Form [\dfrac{e^{ax} – e^{bx}}{x}] Question 1. Evaluate: [\lim_{x→0} \dfrac{e^{3x} – e^{2x}}{x}] Step-by-Step Solution: