# How do you solve this problem? Please explain step by step.

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find lim x--->0 3x^3+25x/x^2+5x

find lim x--->0 3x^3+25x/x^2+5x

##### 1 Answer

Sep 19, 2017

5

#### Explanation:

I thought the expression for F might have a typo, and that both first and second term were divided by the sum of the third and fourth term.

Here is the strategy. All positive powers of x will tend to zero as x approaches zero. All negative powers will approach infinity.

Let's call F the fraction.

If

In the numerator,

If F has the expression you wrote, then