Given:
The expression is:
To find:
The value of the given expression when 
.
Solution:
We have,
Substituting in the above expression, we get
Therefore, the value of given expression at is 59.
Answer:
Area = length x width
width = 1/2 length = 12/2 = 6 = width
area = 6x 12 = 72
Hope that answers your question
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Step-by-step explanation:
Answer:
x>0 and y>0
Step-by-step explanation:
1= ++ 2= -+ 3= -- 4= +-
(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
When you are making a graph you would say x verses y.
