# Is the statement "if f(c)=L, then the limit of f(x)=L as x approaches c" a true or false statement?

It is not true in general. That is: There are situations in which

Example 1

Example 2

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True.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the limit of # (2^x-3^-x)/(2^x+3^-x)# as x approaches infinity?
- F(x) = (x cosx + 3 tanx)/ (x² + sinx), For x≠0 f(x) = 4, for x=0 At x=0 is such that? (a) it is continous (b) it has irremovable discontinuity (c) it has removable discontinuity (d) lim f(x) = 3 x->0
- How do you determine the limit of #(pi/2)-(x)/(cos(x))# as x approaches pi/2?
- Evaluate the limit? : # lim_(x rarr oo)(3x+1)/(|x|+2) #
- How do you evaluate the limit #(3x^4-x^2+5)/(10-2x^4)# as x approaches #oo#?

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