Question

Which of the following method is used to simplify the evalution of limits--​

Answer 1

Answer:

Techniques Of Evaluating Limits

(A) DIRECT SUBSTITUTION.

(B) FACTORIZATION.

(C) RATIONALIZATION.

(D) REDUCTION TO STANDARD FORMS.

Answer 2

Answer: The methods to solve for a limit are as follows:-

• DIRECT SUBSTITUTION.
• FACTORIZATION.
• RATIONALIZATION.
• REDUCTION TO STANDARD FORMS.

Limit: Something that bounds, restrains, or confines is called a limit.

Explanation:

• When we evaluate a limit, we are attempting to discover the value that the function will have reached at a certain moment in time. This is done so that we may make appropriate calculations.
• In direct substitution we put the value of the limit directly, if the limit is resolved without any 0/0 then this method is good to use.
• We first factorize the function and then substitute the value of the limit, if the result is not 0/0 then we are good to go through this method.
• In the rationalization method t is possible to determine if the function's limit is 0, Infinity, -Infinity, or whether it can be simply determined from the coefficients if we know the overall Degree of the Function.
• When working with certain fractions, it might be helpful to multiply the top and bottom by a conjugate, to reduce it into a simpler form.

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