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  1. Home
  2. 12th grade
  3. Calculus
  4. Exercise : Find the limit of a function of the form f/g

Find the limit of a function of the form f/g Calculus

Find the following limit if it exists.

\lim\limits_{x \to -2}\dfrac{3+2x}{4^x}

\lim\limits_{x \rightarrow 1} \dfrac{6x - 1}{x^3 - 1}

\lim\limits_{x \rightarrow -1} \dfrac{x^2 + 2x}{x^5 - 1}

\lim\limits_{x \rightarrow 3} \dfrac{3x^2 + x + 1}{6x^2 + 2x}

\lim\limits_{x \rightarrow -2} \dfrac{3^x}{x^3}

\lim\limits_{x \rightarrow 4} \dfrac{2x - 1}{x^2 - 3^{x-2}}

\lim\limits_{x \rightarrow 3} \dfrac{5^x}{-2x^2 + 4x + 1}

See also
  • Course : Limits of functions
  • Exercise : Make conjecture about limits from graphs
  • Exercise : Identify vertifcal and horizontal asymptotes from graphs
  • Exercise : Find the limit of a polynomial
  • Exercise : Find the limit of an exponential function
  • Exercise : Find the limit of a function of the form f+g
  • Exercise : Find the limit of a function of the form f.g
  • Exercise : Find a zero-denominator limit using factorization
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