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gillgill
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How do i start this problem?
lim (π/2)-x all over cos x
x->π/2
lim (π/2)-x all over cos x
x->π/2
gillgill said:how do u apply this rule to this question?
gillgill said:How do i start this problem?
lim (π/2)-x all over cos x
x->π/2
A limit is defined as the value that a function approaches as its input (x) approaches a certain value or point (a). It represents the behavior of the function near the given point.
The limit of a trigonometric function is the value that the function approaches as its input (x) approaches a certain value or point (a). This can be found by evaluating the function at the given point or by using algebraic techniques.
To evaluate the limit of a trigonometric function, you can first try substituting the given point (a) into the function to see if it is defined. If it is not defined, you can use algebraic techniques such as factoring, rationalizing, or trigonometric identities to simplify the expression and find the limit.
The limit of (pi/2 - x)/cos(x) as x approaches pi/2 is undefined. This can be seen by substituting pi/2 into the function, which results in a division by zero. Therefore, the limit does not exist.
Yes, you can use a graph to visualize the behavior of the function near the given point. However, since the function is undefined at x = pi/2, the graph will have a vertical asymptote at this point and will not give a definitive answer for the limit.