What is the equation of the tangent line to #f(x)=3-14x# at #x=8#?

Answer 1
Your #f(x)# is a linear function whose graph is a straight line, so I am not sure whether or not you can find a tangent line to a...line (a tangent line being a line with only one point in common with your curve)! You may argue that a line crossing your line at #x=8# (having a point in common) has the same property of the tangent but I think that it doesn't work (also because you'll get an #oo# number of them).
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Answer 2

The equation of the tangent line to f(x)=3-14x at x=8 is y=-113x+899.

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Answer from HIX Tutor

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.

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