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Function limits and continuity

Limit properties, resolving indeterminate forms, limits at infinity and continuity.

Questions: 8Estimated time: 29 minutes
Function limits and continuity
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Sample questions

  1. As x → 2, the limit of f(x) is ___ and the limit of g(x) is ___. Find the limit of ___f(x) − ___g(x) as x → 2.
  2. Find the limit of ___ as x → ___.
  3. Find the limit of ___ as x → +∞.
  4. The function is defined by:f(x) = ___ for x < ___;f(x) = ___ for x ≥ ___.Find m so that the function is continuous at x = ___.

Function limits and continuity

Eight dynamic advanced-course tasks on limit properties, algebraic transformations and limits at infinity. Check continuity and compare one-sided limits using a graph.

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