## Important Limit Formulas

We are going to share Limit Formulas for the student who is studying in the class of 5, 6, 7, 8, 9, 10, 11, and 12. In math, Limit is a very important topic which is helping to improve scores in the exam. If you want to become very intelligent in math then you should remember the Limit Formulas to resolve to Limit related problems. If you have any questions related to the Limit please let me know through the comment and mail. There are millions of students looking for Limit formulas that why we shared Limit formulas below.

- \(\lim_{x\to 0} sin x = 0 \)
- \(\lim_{x\to 0} cos x = 1 \)
- \(\lim_{x\to 0} \frac{sin x}{x} = 1\)
- \(\lim_{x\to 0} \frac{tan x}{x} = 1\)
- \(\lim_{x\to 0} \frac{1- cos x}{x} = 0\)
- \(\lim_{x\to 0} \frac{sin^{-1} x}{x} = 1\)
- \(\lim_{x\to 0} \frac{tan^{-1} x}{x} = 1\)
- \(\lim_{x\to 0} \frac { log(1+x)}{x} = 1\)
- \( \lim_{x\to 0} \log e^x = 1\)
- \(\lim_{x\to e} \log _e x = 1\)
- \( \lim_{x\to 0} e^x = 1\)
- \(\lim_{x\to 0} \frac{e^x -1}{x} = 1\)
- \(\lim_{x\to 0} \frac{a^x -1}{x} = \log_e a\)
- \(\lim_{x\to \infty} (1 + \frac{1}{x})^x = e\)
- \(\lim_{x\to \infty} (1 + \frac{a}{x})^x = e^a \)
- \(\lim_{x\to 0} (1+x)^{\frac{1}{x}} = e \)
- \(\lim_{x\to a} \frac{x^n – a^n}{x-a} = n(a)^{n-1}\)

## Summary of Limit Formula

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