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∑_(m=0)^3▒1/2m. I am having problems understanding this problem, can you help me to understand this?

Answer 1

Paisley Johnson

#3#

#sum_0^3 (1/2)m# #=0/2+1/2+2/2+3/2# #=0+1/2+1+3/2# #=3#

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Answer 2

Adam Adkins

Certainly! The expression you provided is a summation notation. In this notation, "m" represents the variable of summation, and it starts from 0 and goes up to 3. The expression 1/2m represents the term to be summed.

To solve it, you plug in each value of "m" from 0 to 3 into the expression 1/2m and then sum up the results.

When you do this:

For m = 0: 1/2(0) = 0 For m = 1: 1/2(1) = 1/2 For m = 2: 1/2(2) = 1 For m = 3: 1/2(3) = 3/2

Then, you add up these results:

0 + 1/2 + 1 + 3/2 = 3

So, the sum of the expression ∑_(m=0)^3▒1/2m is 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.