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Calculus Made Easy: Solving the Limit of e^tanx-1/x in seconds |
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In this short video lecture, we will be exploring how to find the value of the limit of (e^tanx-1)/x as x approaches 0. This type of limit can be quite tricky to solve, but with the right techniques and understanding of calculus, it can be simplified and evaluated accurately.
We will start by introducing the concept of limits and how they can be used to calculate the behavior of a function as it approaches a certain value. Then, we will delve into the specific problem of (e^tanx-1)/x and discuss some basic strategies for simplifying it.
Next, we will show step-by-step how to manipulate the expression using various trigonometric identities and calculus rules until we reach a form that can be evaluated easily. We will also discuss some common mistakes that students often make when trying to solve this type of limit and how to avoid them.
By the end of this video, you should have a clear understanding of how to solve the limit of (e^tanx-1)/x and feel confident in your ability to tackle similar problems in the future. Whether you're a student struggling with calculus or just looking to refresh your knowledge, this video is sure to be helpful.
#CUET2023 #commonuniversityentrancetest #class12 #boardexam2023 #Continuity #LeftHandLimit #RightHandLimit
We will start by introducing the concept of limits and how they can be used to calculate the behavior of a function as it approaches a certain value. Then, we will delve into the specific problem of (e^tanx-1)/x and discuss some basic strategies for simplifying it.
Next, we will show step-by-step how to manipulate the expression using various trigonometric identities and calculus rules until we reach a form that can be evaluated easily. We will also discuss some common mistakes that students often make when trying to solve this type of limit and how to avoid them.
By the end of this video, you should have a clear understanding of how to solve the limit of (e^tanx-1)/x and feel confident in your ability to tackle similar problems in the future. Whether you're a student struggling with calculus or just looking to refresh your knowledge, this video is sure to be helpful.
#CUET2023 #commonuniversityentrancetest #class12 #boardexam2023 #Continuity #LeftHandLimit #RightHandLimit