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Left-handed limit
We say
provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely minor and actually might be missed if you aren't paying attention. The only difference is the bit i.e. under the "lim" part of the limit. For the right- handed limit now we have x → a- (note the "+") which means that we know will only look at x>a. Similarly for the left-handed limit we have x → a- (note the "-") that means that we will only be looking at x Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
Note that the change in notation is extremely minor and actually might be missed if you aren't paying attention. The only difference is the bit i.e. under the "lim" part of the limit. For the right- handed limit now we have x → a- (note the "+") which means that we know will only look at x>a. Similarly for the left-handed limit we have x → a- (note the "-") that means that we will only be looking at x Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
Let's now take a look at the some problems and look at one-sided limits rather than the normal limit.
2x-3x=6
What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2
Divide 6.8 × 10 5 by 2.0 × 10 2 . Write your answer in scientific notation? To divide numbers written in scienti?c notation and divide the ?rst numbers (6.8 ÷ 2.0 = 3.4); the
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Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that
It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen
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If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?
a + b
Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b]. We will also suppose that f(x) ≥ g(x) on [a,b].
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