Nathaniel and Anna are thinking about the function g: (1, o0) → R given by 9(x) = 26/(1-2) Nathaniel wants to calculate lim g(x). Anna says, "Oh no, this limit is an indeterminate form!" What type of indeterminate form is this limit? O 0-0 o (-1)0 o 00 O 00 o 10 o 10 O o0 00 Nathaniel says, "That's okay, I have a plan. Let's write g(x) = en(x) for some new function h." Anna says, "I see! Then we can write h(x) without any exponentiation." Write h(x) in simplified form (that is, without any exponents, and only in terms of x): h(x) = Anna continues, "I'm still not sure about the original limit, but I do know how to find a similar limit of this new function." What is lim h(x)? lim h(x) = Number Nathaniel correctly states, "Since the exponential function is (Click for List) , we can finally evaluate the original limit." What is the original limit? lim g(x) =

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.