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Created page with "Limits help us understand the behavior of a function at points even when its not explicitly defined. \ === Activity === '''Consider the function <math>f(x)=e^{\frac{-1}{x^2}..."
Limits help us understand the behavior of a function at points even when its not explicitly defined. \
=== Activity ===
'''Consider the function <math>f(x)=e^{\frac{-1}{x^2}}</math>'''
We want to know about the behavior of function at <math>x=0</math>however <math>f(0)</math>is not defined since <math>\frac{1}{0}</math>can't be operated upon. To solve this dilemma we will look at the behavior of <math>f(x)</math>when x is near to 0.
'''In a spreadsheet, plot the values of f(x) as x is the 'neighborhood' of 0. Then plot the function and mark your observations.'''
=== Activity ===
'''Consider the function <math>f(x)=e^{\frac{-1}{x^2}}</math>'''
We want to know about the behavior of function at <math>x=0</math>however <math>f(0)</math>is not defined since <math>\frac{1}{0}</math>can't be operated upon. To solve this dilemma we will look at the behavior of <math>f(x)</math>when x is near to 0.
'''In a spreadsheet, plot the values of f(x) as x is the 'neighborhood' of 0. Then plot the function and mark your observations.'''