Give the three conditions that must be satisfed by a unction to
be continuous at apoint.
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2.6 - #2
Determine the points at which the unction below has
discontinuities. For eachpoint state the conditions in the
continuity checlist that are violated.
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2.6 - #2 !"ample
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2.6 - #
Determine whether the ollowin$ unction is continuous at a. %se
the continuitycheclist to &ustiy your answer.
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2.6 - # !"ample
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2.6 - #' and !"ample
Determine the intervals on which the ollowin$ unction is
continuous.
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2.6 - #(
!valuate the limit.
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2.6 - #6 and !"ample
Determine where the unction )"* is continuous.
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2.6 - #+
Determine the interval)s* on which the ollowin$ unction is
continuous, thenevaluate the $iven limits.
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2.6 - #+ !"ample
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2.6 - #
a. %se the intermediate value theorem to show that the ollowin$
euation has asolution/
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2.6 - # !"ample
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2.6 - #0 and !"ample
%se the continuity o the absolute value unction )" is continuous
or all values o"* to determine the interval)s* on which the
ollowin$ unction is continuous.
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2.6 - #1
!valuate the ollowin$ limit.
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2.6 - #1 !"ample
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2.6 - #11
a. 3etch the $raph o a unction that is not continuous at /, but
is defned at /
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2.6 - #11 !"ample
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2.6 - #12
a. Determine the value o a or which $ is continuous rom let at
/
b. Determine the value or a or which $ is continuous rom the
ri$ht at /
c. 4s there a value o a or which $ is continuous at /
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2.6 - #12 !"ample
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2.6 - #1
5lassiy the discontinuities in the unction / at the points /
![Rational orthogonal calculus · Weiss’s classification of the n-homogeneous functors [17, Theorem 7.3]. Theorem 2.6 The full subcategory of n-homogeneous functors in the homotopy](https://img.pdfslide.us/doc/110x75/6060ac6fc4935339b17889f7/rational-orthogonal-calculus-weissas-classiication-of-the-n-homogeneous-functors.jpg)
