I. The idea of limits, and Substitution (super easy when it works)
You’ve probably already been told something likeIn this case, the limit is simply the function’s value at x = 2: $displaystyle{lim_{x to 2}f(x)} = f(2) = 4$.And in some homework and test questions (if your teacher is feeling nice), to find the limit y...
II. When you get 0 divided by 0, first try factoring
If you try substitution and get $dfrac{0}{0}$, your next step should be to try Tactic #2: Factor the numerator or denominator if possible. The problematic term will then cancel. Let’s continue Example 3 above to illustrate.Example 3 (continued). Find $displaystyle{...
III. Tactic #3: Use conjugates
If the function has a square root in it and Substitution yields $dfrac{0}{0}$, 0 divided by 0, then multiply the numerator and the denominator by $$1 = frac{text{conjugate of the term (numerator or denominator) with the root}}{text{conjugate of the te...
Bạn đã thích câu chuyện này ?
Hãy chia sẻ bằng cách nhấn vào nút bên trên
Truy cập trang web của chúng tôi và xem tất cả các bài viết khác!