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the function is continuous at x=a if A function is said to be continuous at a particular point, x=a, if the following conditions are met: 1 A...

notion of limits:lim x -> c f(x) = L In mathematics, the notion of limits is a fundamental concept in calculus, and it represents the behavior of...

lim x->0 cosx To find the limit of a function as x approaches a certain value, we evaluate the value of the function at that point To...

lim x->0 1-cosx/x = To find the limit of the expression (1 – cos(x)) / x as x approaches 0, we can simplify and apply L’Hôpital’s rule...

lim x->0 (sinx/x) = To find the limit of the expression (sinx/x) as x approaches 0, we can use the concept of a trigonometric limit To find...

lim x->0 (1/x^2) To find the limit of a function as x approaches a certain value, we need to evaluate the behavior of the function as x...

lim x->0- (1/x) To evaluate the limit as x approaches 0 from the left side of the function f(x) = 1/x, we substitute values that approach 0...

lim x->0+ (1/x) The given expression is a limit expression and it represents the limit of a function as x approaches 0 from the positive side The...