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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
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Calculus 1: limits and continuity solving
Recent questions in Limits and continuity
Limits and continuity
asked 2020-12-24
Find the limits
\(\lim_{y\rightarrow2}\frac{y+2}{y^2+5y+6}\)
Limits and continuity
asked 2020-12-22
Evaluate the following limit. If you use L'Hospital Rule, be sure to indicate when you are using it, and why it applies.
\(\lim_{x\rightarrow\infty}(3\cdot2^{1-x}+x^2\cdot2^{1-x})\)
Limits and continuity
asked 2020-12-22
Find the limits:
\(\lim_{x\rightarrow\infty}(\sqrt{x+9}-\sqrt{x+4})\)
Limits and continuity
asked 2020-12-21
Find the limits.
\(\lim_{x\rightarrow-\infty}\frac{2^x+4^x}{5^x-2^x}\)
Limits and continuity
asked 2020-12-16
Find the limit
\(\lim_{u\rightarrow1}\frac{u^4-1}{u^3-1}\)
Limits and continuity
asked 2020-12-16
Find the limits:
\(\lim_{x\rightarrow4}\frac{4x-x^2}{2-\sqrt{x}}\)
Limits and continuity
asked 2020-12-16
Find the following complex limits.
\(\lim_{n\rightarrow\infty}\frac{2n}{7n+ni}\)
Limits and continuity
asked 2020-12-07
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(1,-1)}\frac{10uv-2v^2}{u^2+v^2}\)
Limits and continuity
asked 2020-12-05
Evaluate the following limits or determine that they do not exist.
\(\lim_{(x,y,z)\rightarrow(2,2,3)}\frac{x^2z-3x^2-y^2z+3y^2}{xz-3x-yz+3y}\)
Limits and continuity
asked 2020-12-05
Use L'Hospital Rule to evaluate the following limits.
\(\lim_{x\rightarrow0}\frac{\tanh^{-1}x}{\tan(\pi x/2)}\)
Limits and continuity
asked 2020-12-05
Evaluate the limit:
\(\lim_{x\rightarrow\infty}\frac{e^x}{x^4}\)
Limits and continuity
asked 2020-12-02
Evaluate the limit
\(\lim_{x\rightarrow\infty}\frac{4x^3-2}{3x^4+5x}\)
Limits and continuity
asked 2020-12-01
Evaluate the following limits.
\(\lim_{x\rightarrow0}\frac{\sin3x}{\tan4x}\)
Limits and continuity
asked 2020-11-30
Evaluate the following limit.
\(\lim_{x\rightarrow0^+}(1+5x)^{2/x}\)
Limits and continuity
asked 2020-11-30
Use L'Hospital Rule to evaluate the following limits.
\(\lim_{x\rightarrow0}(\tanh x)^x\)
Limits and continuity
asked 2020-11-30
Evaluate the following limits.
\(\lim_{(x,y,z)\rightarrow(1,-1,1)}\frac{xz+5x+yz+5y}{x+y}\)
Limits and continuity
asked 2020-11-27
Use the method of your choice to evaluate the following limits.
\(\lim_{(x,y)\rightarrow(0,\pi/2)}\frac{1-\cos xy}{4x^2y^3}\)
Limits and continuity
asked 2020-11-26
Use Taylor series to evaluate the following limits.
\(\lim_{x\rightarrow0}\frac{\sqrt{1+2x}-1-x}{x^2}\)
Limits and continuity
asked 2020-11-23
Find the limit.
\(\lim_{x\rightarrow0^+}\frac{\sqrt x}{\sqrt{\sin x}}\)
Limits and continuity
asked 2020-11-23
Evaluate the following limits.
\(\lim_{\theta\rightarrow0}\frac{\sec\theta-1}{\theta}\)
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