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Exercise

$\lim_{y\to0}\left(y^2-68y+196\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{y\to0}\left(y^2-68y+196\right)$ by replacing all occurrences of $y$ by $0$

$0^2-68\cdot 0+196$
2

Multiply $-68$ times $0$

$0^2+0+196$
3

Add the values $0$ and $196$

$0^2+196$
4

Calculate the power $0^2$

$0+196$
5

Add the values $0$ and $196$

$196$

Final answer to the exercise

$196$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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