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Evaluate following limits.
Solution
In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this,
Hence, the exponent goes to minus infinity in the limit and thus the exponential has to go to zero in the limit. Hence, the answer is,
Let's work on some more complicated examples including exponentials. In the following examples it won't be that the exponents are more complexes, but instead that there will be more than one exponential function to deal with.
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.
How can i get a better understanding of logistics without having a degree on logistics and knowledge of it? Simply, in a very basic form..
How do I create an input-output table with the rule -12
integral from 0 to pi of dx/(a+b*cos(x)
Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a) Set up an equation for the perimeter involving
Solve 6 sin ( x/2)= 1 on [-20,30] Solution Let's first work out calculator of the way since that isn't where the difference comes into play. sin( x/2)= 1/6 ⇒x/2= sin
L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity. In these cases we have, Therefore, L'H
a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p To prove: (b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P or (b+c)/a; (a+c)/b; (a+b)/c are in A.P or 1/a; 1
2 of 10 =
Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4". Be sure to include units in your answer. Solution: V
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