logaliciouz said:lim x( (x2 −2x+5)^(1/2)−|x−1|)
x→−∞
so far, the only way I have started the question is by multiplying for the conjugate but i cannot get it to simply to the answer which is -2 after that step.
Approaching negative infinity means that a variable or function is getting closer and closer to negative infinity, which is represented by the symbol "-∞". This means that the value of the variable or function is becoming increasingly negative without ever reaching a specific number.
Studying limit approaching negative infinity is important in mathematics and science because it helps us understand the behavior of functions and variables as they approach the extreme value of negative infinity. This can help us make predictions and solve problems related to real-life situations.
To determine the limit approaching negative infinity, you can use the same techniques as you would for determining a regular limit. This includes using algebraic manipulation, substitution, and graphing. However, when approaching negative infinity, you will be looking at the values on the left side of the graph instead of the right side.
No, a limit approaching negative infinity cannot have a finite value. Since negative infinity is not a specific number, the limit will either tend towards negative infinity or it will not exist at all. This means that the function or variable will continue to decrease without ever reaching a specific value.
Limit approaching negative infinity is used in various fields, such as physics, engineering, and economics. For example, it can help predict the velocity of an object as it approaches the speed of light, the lifetime of a radioactive substance, or the behavior of stock prices as they decrease over time.