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SECONDARY
CALCULUS AND ANALYSIS
CALCULUS 1
LIMITS AND CONTINUITY
Secondary
Calculus and Analysis
Precalculus
Calculus 1
Limits and continuity
Derivatives
Integrals
Polynomial graphs
Exponential models
Transformations of functions
Analyzing functions
Calculus 2
Algebra
Geometry
Statistics and Probability
Math Word Problem
Other
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Limits and continuity Answers
Limits and continuity
asked 2021-03-11
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(4,5)}\frac{\sqrt{x+y}-3}{x+y-9}\)
Limits and continuity
asked 2021-03-09
Find each of the following limits. If the limit is not finite, indicate or for one- or two-sided limits, as appropriate.
\(\lim_{x\rightarrow\infty}\frac{4x^3-2x-1}{x^2-1}\)
Limits and continuity
asked 2021-03-09
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(2,2)}\frac{y^2-4}{xy-2x}\)
Limits and continuity
asked 2021-03-09
Find the limits:
\(\lim_{x\rightarrow-2}\frac{x+2}{\sqrt{x^2+5}-3}\)
Limits and continuity
asked 2021-03-08
Use the method of your choice to evaluate the following limits.
\(\lim_{(x,y)\rightarrow(4,0)}x^2y\ln xy\)
Limits and continuity
asked 2021-03-07
Find the limits:
\(\lim_{(x,y)\rightarrow(0,0)}\cos\frac{x^2+y^3}{x+y+1}\)
Limits and continuity
asked 2021-03-06
Use the method of your choice to evaluate the following limits.
\(\lim_{(x,y)\rightarrow(2,0)}\frac{1-\cos y}{xy^2}\)
Limits and continuity
asked 2021-03-04
Find the following limit:
\(\lim_{x\rightarrow0}\frac{xe^x}{e^{3x}-1}\)
Limits and continuity
asked 2021-03-04
Evaluate the following limit.
\(\lim_{h\rightarrow0}\frac{100}{(10h-1)^{11}+2}\)
Limits and continuity
asked 2021-03-04
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(1,-2)}\frac{y^2+2xy}{y+2x}\)
Limits and continuity
asked 2021-03-04
Find the following limits or state that they do not exist.
\(\lim_{h\rightarrow0}\frac{3}{\sqrt{16+3h}+4}\)
Limits and continuity
asked 2021-03-02
Determine the following limits.
\(\lim_{x\rightarrow1}\frac{1-x^2}{(x-1)^2}\)
Limits and continuity
asked 2021-02-26
Find the function The following limits represent the slope of a curve y=f(x) at the point {a,f(a)} Determine a possible function f and number a, then calculate the limit
\(\lim_{x\rightarrow2}\frac{5\cdot x^2-20}{x-2}\)
Limits and continuity
asked 2021-02-25
Find the limit
\(\lim_{x\rightarrow-\infty}\frac{x^2-4x+8}{3x^3}\)
Limits and continuity
asked 2021-02-25
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(0,\pi)}\frac{\cos xy+\sin xy}{2y}\)
Limits and continuity
asked 2021-02-25
Find the following limits or state that they do not exist.
\(\lim_{x\rightarrow4}\frac{31x-42\cdot\sqrt{x+5}}{3-\sqrt{x+5}}\)
Limits and continuity
asked 2021-02-25
Evaluate the following limits.
\(\lim_{x\rightarrow0^+}x^{x^2}\)
Limits and continuity
asked 2021-02-23
Use Taylor's theorem to evaluate the following limits.
\(\lim_{x\rightarrow0}\frac{3\sin^2(x)+2\sin^4(x)}{3x\tan(x)}\)
Limits and continuity
asked 2021-02-22
Evaluate the following limits.
\(\lim_{x\rightarrow0}\frac{\tan5x}{x}\)
Limits and continuity
asked 2021-02-22
Solve
\(\lim_{x\to1}\frac{(x^{4}-4)}{(x^{2}-3x+2)}
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