# How do you solve this problem step by step?

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Let #f(x)=x^3-8 divide x-2# This function has a removable discontinuity at x=2 (but is continuous at all other real numbers). How should this function be re-defined at x=2 in order for the function to be continuous everywhere?

Let

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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.

- What is the equation of the normal line of #f(x)=x^2/(1+4x)# at #x=-1#?
- What is the equation of the tangent line of #f(x) =(x^2)/(x-4)# at #x=5#?
- How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2+3x+3#?
- What is the equation of the normal line of #f(x)= -2x^3-10x # at #x=2 #?
- What is the equation of the line tangent to #f(x)=(2x^2 - 1) / x# at #x=1#?

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