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Lim tan (xsquare -1)x-1 where x tends to 1?
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Lim tan (xsquare -1)x-1 where x tends to 1?
Lim tan((x^2 - 1)x - 1) as x tends to 1:

To find the limit of the given expression as x tends to 1, we need to simplify the expression and evaluate it at x = 1. Let's break down the problem step by step:

Step 1: Simplify the expression:
To simplify the expression, we can start by expanding the brackets:

tan((x^2 - 1)x - 1) = tan(x^3 - x^2 - x - 1)

Step 2: Evaluate the expression at x = 1:
Now, substitute x = 1 into the expression:

tan(1^3 - 1^2 - 1 - 1) = tan(1 - 1 - 1 - 1) = tan(-2)

Step 3: Evaluate the limit:
To evaluate the limit, we need to determine the behavior of the expression as x approaches 1. In this case, we can see that the expression involves the tangent function, which has a vertical asymptote at odd multiples of π/2.

Since tan(-2) is undefined (as it approaches negative infinity), we can conclude that the limit of the expression as x tends to 1 does not exist.

Therefore, Lim tan((x^2 - 1)x - 1) as x tends to 1 is undefined.
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Lim tan (xsquare -1)x-1 where x tends to 1?
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Lim tan (xsquare -1)x-1 where x tends to 1? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Lim tan (xsquare -1)x-1 where x tends to 1? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lim tan (xsquare -1)x-1 where x tends to 1?.
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