Give an example which is continous everywhere but not differentiable at 3 points?
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Axel AlvarezOne example of a function that is continuous everywhere but not differentiable at three points is the absolute value function ( |x| ).
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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.
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 evaluate the limit #(x^5-1)/(x-1)# as x approaches #1#?
- How do you find the limit of #(1/sqrtx-1/sqrt2)/(x-2)# as #x->2#?
- How do you prove limit of #2/sqrt(x-4)=oo# as #x->4^+# using the precise definition of a limit?
- What is the limit of #(4x^2+1)/(x^2+2x-3)# as x approaches -2?
- What is the limit of # (sinx)(ln4x)# as x approaches 0?
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