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**1. The problem statement, all variables and givennown data**

1)FInd the nth left endpoint approximation Ln for f(x) = 3x^2-2 on [0,2]. What is the limit as n approaches infinity Ln in this case?

2)Evaluate:

[tex]\sum[/tex]

^{45}

_{i=5}(2i-5)

## Homework Equations

Ln = [tex]\sum[/tex]

^{N}

_{j=1}

f(c

_{j})(x

_{j}-x

_{j-1})

## The Attempt at a Solution

1)Not sure where to start. Should I start by substituting 0 and 2 in the function and subtract both of them and get the limit as n approaches infinity?

2)2[tex]\sum[/tex]

^{45}

_{i=5}- [tex]\sum[/tex]

^{45}

_{i=5}

= [ 2(2+1) ]/2 - 225

= -222

I'm not sure with my answer because it says [tex]\sum[/tex]

_{i=1}

^{n}

and in my question i = 5.

Thanks