In summary, the limit of {(e^h-1)/h} as h approaches 0 is equal to 1 and can be solved using L'Hôpital's rule or by taking the limit of the function. Calculating this limit is important in mathematics and science, particularly in understanding the behavior of a function. It can be solved without calculus, but using calculus is often the most efficient method. The number e in the function is a fundamental constant in calculus and has real-world applications in various fields, such as physics, engineering, and economics.
#1
Ravi Mandavi
36
0
how, limit h->0 {(e^h-1)/h}= 1?
Although this is not home work but i stuck on it