The expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)
<h3>How to solve Geometric series?</h3>
We are given the series;
3/2 + 3/4 + 3/8 + 3/16 +.....
Formula for the nth term of a geometric series is;
aₙ = ar^(n - 1)
where;
a is first term
r is common ratio
From our given series;
a = ³/₂
r = (³/₄)/(³/₂) = ¹/₂
We know that Sum of GP when n < 1 is;
Sₙ = a(1 - rⁿ)/(1 - r)
Thus;
Sₙ = ³/₂(1 - ¹/₂ⁿ)/(1 - ¹/₂)
Sₙ = 3(1 - ¹/₂ⁿ)
Thus, the expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)
Read more about Geometric Series at; brainly.com/question/24643676
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Answer:
To finish the paragraph
Explanation:
...that they smoked real dickweed
The numbers at which <em>f</em> is not differentiable are;<u> -1, and 2</u>
The reason the above list of numbers at which <em>f</em> is not differentiable are correct are given as follows:
<em>Question; Please find attached a graph that can be used to solve the question</em>
- A function is not differentiable at a point where the function has a discontinuity. That is a point on the graph were there is a break in the graph
Therefore, the given graph of <em>f</em> shows that <u>the function is not differentiable at x = -1</u>, the point where the graph has a discontinuity
- A function is not differentiable at a point where the graph of the function has a kink or corner.
The graph of <em>f</em> has a kink at x = 2, therefore, <u>the function is also not differentiable at x = 2</u>
Learn more about differentiability of a function here:
brainly.com/question/18187058