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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.
Find out all the critical points for the function. Solution Following is the derivative for this function. Now, this looks unpleasant, though along with a little fa
Which of the following is the most crucial aspect of learning multiplication? i) Multiplication facts ii) Recall of tables and their recitation iii) Understanding "how man
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
I''m supposed to be writing a critique for my maths project where i compare the prices for different holidays. i don''t know what to write for a critique though, any tips on what w
Define transportation problem
Primary, note that quadratic is another term for second degree polynomial. Thus we know that the largest exponent into a quadratic polynomial will be a2. In these problems we will
Your factory has a machine for drilling holes in a sheet metal part. The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any
if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta
Evaluate distance traveled by train: A plane flying at 525 miles per hour completes a trip in 2 hours less than another plane flying at 350 miles per hour. What is the distan
Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
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