Yes ofcourse haha My bad..ZaidAlyafey said:
I am making so much typo..:( I did Edit it now!ZaidAlyafey said:
Petrus said:
Actually I believe you are correct! I did accidently had a sign wrong.. If someone is interested how to solve it. You can first cancel out all \(\displaystyle x^0, 3-1-2\) then you can also cancel out \(\displaystyle x^2, -x^2+\frac{2x^2}{2!}\) expand that square function at numerator and divide evrything by \(\displaystyle x^4\) and you get the answer \(\displaystyle - \frac{7}{12}\), what I did wrong is that I did not see the negative sign in bracket at top. I did take \(\displaystyle \frac{1}{2}-\frac{2}{4!}\) while it should be \(\displaystyle -\frac{1}{2}-\frac{2}{4!}\)ZaidAlyafey said:
A limit in calculus represents the value that a function approaches as the input approaches a specific value. It is denoted by the symbol "lim" and is an essential concept in calculus for understanding the behavior of functions.
To solve a limit, you can use algebraic manipulations, substitution, or graphing to simplify the function and evaluate the limit. You may also need to use limit laws and other calculus techniques such as L'Hospital's rule to solve more complex limits.
The limit of a function at a specific point is the value that the function approaches as the input (x-value) approaches that specific point. It is not necessarily the same as the value of the function at that point and can only be determined using limit notation.
To evaluate a limit at infinity, you can use the concept of one-sided limits and determine the behavior of the function as the input approaches positive or negative infinity. You may also need to use some calculus techniques, such as the squeeze theorem, to evaluate the limit at infinity.
Some common techniques for solving limits include direct substitution, factoring, rationalization, and trigonometric identities. Other techniques, such as the sandwich theorem and the intermediate value theorem, may be used for more challenging limits. It is also essential to have a good understanding of algebra and calculus concepts to solve limits effectively.