# In the limit #lim 1/(10t)=oo# as #t->0^+#, how do you find #delta>0# such that whenever #0<t<delta#, #1/(10t)>100#?

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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 #(x^2 - 8) / (8x-16)# as x approaches #0^+#?
- What is the limit of #(ln(x+2)-ln(x+1))# as x approaches #oo#?
- How do you find the limit of #((16x)/(16x+3))^(4x)# as x approaches infinity?
- How do you prove that the limit of # (x²-9) / (x²+5x+6)=0 # as x approaches -3 using the epsilon delta proof?
- How do you find the limit of #(cos x - 1) / sin x^2# as x approaches 0?

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