# What is # lim_(x rarr 0) (h(3+x)-h(3) )#?

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The limit of (h(3+x) - h(3)) as x approaches 0 is equal to the derivative of h at x = 3.

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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.

- Evaluate #lim _(x-> oo) (sinxcosx)/(3x) # ?
- How do you find the Limit of # (2x+3)[ln(x^2-x+1)-ln(x^2+x+1)]# as x approaches infinity?
- How do you find the limit of #(x^n-1) / (x-1)# as x approaches 1?
- Evaluate the limit # lim_(h rarr 0) (1-cos h)/h^2 #?
- For what values of x, if any, does #f(x) = 1/((x^2-4)(x+3)(x-2)) # have vertical asymptotes?

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