Limiting limiting limits ..........

Calculus Level 3

Find the answer to the following limit

lim ⁡ x → ∞ e x − x 4 + log ⁡ ( x + 1 ) − sin ⁡ x + cos ⁡ x − log ⁡ x − tan ⁡ − 1 x . \lim_{x \rightarrow \infty} e^x - x^4 + \log (x+1) - \sin x + \cos x - \log x - \tan^{-1} x.

∞ Can't be determined 0 -∞

Karan Siwach by Karan Siwach , 23, India

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1 solution

Rajdeep Brahma
Jun 10, 2018

Replace log(1+x)-log(x) as log( 1 x \frac{1}{x} +1) equal to 1 x \frac{1}{x} as x tends to i n f i n i t y infinity ...the trigionometric functions will have some finite values....and e x e^x is way way larger than x 4 x^4 ...hence infinit is the answer.

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