Triangle B is the same shape as Triangle A with a scale factor of ſ. That means each side length is the side length of Triangle
1 answer:
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In this question (brainly.com/question/12792658) I derived the Taylor series for about
:
Then the Taylor series for
is obtained by integrating the series above:
We have , so
and so
which converges by the ratio test if the following limit is less than 1:
Like in the linked problem, the limit is 0 so the series for converges everywhere.
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
.
So 0.000000016 expressed in scientific notation is 1.6x
, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
So 0.000000016 expressed in scientific notation is 1.6x
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>