How to practice problems from textbooks that don't have a solution manual

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I'm looking to do a bunch of problems from one of my textbooks to become more comfortable with a topic, but I have a problem: the textbook doesn't have solutions, and there isn't a solution manual. How am I supposed to know whether I'm doing things right/how do learn more techniques (or better techniques) to solve the problems? In general, how do I gain anything from solving problems from a textbook that doesn't have a solution manual available?

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The best answer I could give to you is: it takes time. When you are not very experienced, it is quite difficult to be sure you are doing things right. But there are some tips that could help you out. Most first-year courses involve problems that are strongly connected to calculations. For example, you may have to evaluate limits, derivatives, integrals and so on. For this, you can always check your answers using programs like wolfram or MATHEMATICA. If you are dealing with more advanced subjects such as analysis, linear algebra and so on, math.stack is a really good place to discuss your doubts and show your attempts to solve problems. Besides, although your book may not have the answers for its problems, the problems it proposes might be topics of carefuly discussion in another book, so it is very important that you consult more than one reference when studying. Other usefull materials are lecture notes from other professors/universities around the world. In any case, as time goes by you tend to be more experienced and you start to have a "feeling" of what makes sense and what does not. This comes with practice and, lets be honest, also with many mistakes!