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From Karnataka Open Educational Resources
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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.
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.'''
+'''In a spreadsheet, plot the values of f(x) as x is the 'neighborhood' of 0. Then plot the function and mark your observations.'''
+=== Solution ===
+{{Geogebra|frydyff2}}
+We can see that as the values approach 0, <math>f(x)</math>get really really small and really close to 0 however at no point, does it touch 0. And as the values go away from 0 <math>f(x)</math>starts getting bigger.
+{{Geogebra|bqh7e9dj}}
+The same can be observed from the plot.
