Can Continuity at 0 Guarantee Equality at 0?

In summary, continuity analysis is a method used in scientific research to examine patterns and trends over time. It is commonly used in a variety of fields and is suitable for analyzing different types of data. The steps involved in conducting continuity analysis include identifying the data, organizing and graphing it, and interpreting the results. The benefits of using continuity analysis include gaining a deeper understanding of data, revealing long-term trends and patterns, and examining changes over time.
  • #1
mathmajor2013
26
0

Homework Statement



True or false? If f and g are continuous at 0 and f(1/(2n+7))=g(1/(7-2n)) for all positive integers n, then f(0)=g(0).

Homework Equations



lim x->0 f(x)=f(0)
lim x->0 g(x)=g(0)

The Attempt at a Solution



NO CLUE. My intuition says false.
 
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  • #2
hi mathmajor2013! :smile:

hint: forget lim x->0 …

what is lim n->0 ? :wink:
 
  • #3
I'm wondering if tiny-tim didn't mean "[itex]n\to \infty[/itex]"?
 
  • #4
oops! :rolleyes:
 

FAQ: Can Continuity at 0 Guarantee Equality at 0?

What is continuity analysis?

Continuity analysis is a method used in scientific research to examine patterns and trends over time. It involves studying the data collected at different time points to determine if there is a consistent pattern or trend.

How is continuity analysis used in scientific research?

Continuity analysis is commonly used in a variety of fields, including biology, economics, and psychology. It allows researchers to identify long-term trends, understand the impact of changes over time, and make predictions about future outcomes.

What types of data can be analyzed using continuity analysis?

Continuity analysis is suitable for analyzing different types of data, including numerical data, categorical data, and time series data. It can also be used to analyze data from different sources, such as surveys, experiments, or observational studies.

What are the steps involved in conducting continuity analysis?

The first step in continuity analysis is to identify the data that will be analyzed and determine the time period to be studied. Then, the data is organized and graphed to visualize any patterns or trends. Statistical tests may also be used to assess the significance of the findings. Finally, the results are interpreted and conclusions are drawn.

What are the benefits of using continuity analysis in research?

Continuity analysis is a powerful tool that allows researchers to gain a deeper understanding of the data they are studying. It can reveal long-term trends and patterns that may not be apparent from other methods. It also allows for the examination of changes over time, providing valuable insights into the underlying processes and mechanisms at work.

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