Why do some people say global warming is real and others say it is not?
There are varying reasons.
There are a number of reasons why some people do not think that there is either climate change or global warming (see this answer to learn the differences and why the latter term is preferred).
Higher education in the US frequently offers students the opportunity to take classes on either directly or that include climate change as part of the course; thus, some young adults are exposed to the science through their education, and in some schools climate change may be taught as part of the K-12 education. When you look at the people who actually study climate science and are actively publishing their results, 97% of them agree that climate change is caused by humans. Thus, those who "believe" in climate change may understand the science or may follow enough science to have heard repeatedly that climate change is real.
The following are the main arguments against climate change:
A well-known reason why many people do not believe in climate change is that there is a concerted effort to disseminate false information and cast doubt on the science. One excellent film or book on this topic is Merchants of Doubt. People who stand to gain financially from the denial of climate change, such as fossil fuel companies, have a motive to disseminate false information.
An excellent article about the work of the influential US think tank Heartland Institute can be found here. They are masters at disguising pseudoscientific findings in a variety of ways.
Another issue is that many scientists perform a poor job of explaining their research to the general public. They frequently use technical terms and present a poor image of themselves to the media. By making themselves and their work incomprehensible to the general public, scientists can contribute to the confusion surrounding climate change and may also discourage people from reading about science.
One of the main reasons why people do not believe in climate change is because of the media. They like to show climate change as an open topic and will pit a climate scientist against a politician or someone who does not believe. This creates the impression that there are equal numbers of scientists who believe in climate change and those who do not. You may recall a petition that purportedly had 30,000 scientists who are against it. However, when you look at the names on the petition, very few of those scientists are actually climate scientists, and some of the names are even fictitious.
A recent report found that 72% of Fox News's climate change reporting contains misleading statements. The US mainstream media frequently reports on climate change inaccurately, misrepresenting the science or omitting seemingly insignificant but crucial details.
There is a well-written article about this topic here. Another reason why climate change is so controversial in the United States is because of some cultures and the authority that those cultures hold. Some people think that since god wouldn't allow the kind of severe climate catastrophes that we are facing in the future, climate change must be false. Others think that scientists are dishonest and don't understand the rigorous review process that science entails.
Dr. Katharine Hayhoe has authored a book and done some outstanding research on religion, science communication, and climate change.
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Some people say global warming is real because of overwhelming scientific evidence showing an increase in global temperatures, melting glaciers, rising sea levels, and changes in weather patterns. Others may deny it due to various reasons such as political beliefs, skepticism of scientific consensus, or vested interests in industries that contribute to greenhouse gas emissions.
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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.
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.
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.
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.

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