Answer the LIMIT

f(x)= (e[x]+|x| -2)/[x]+|x|

Find limit of f(x) when x tends to 0.[x] stands for G.I.F and |x| denotes the modulus sign.

4 Answers

71
Vivek @ Born this Way ·

Yes You're correct. Both aren't equal. I hadn't checked.

7
Sigma ·

@Vivek, Moreover this limit is not of 0/0 or∞/∞ or 1∞.etc form.

Since lhl not equal to rhl This mean this is dicontinuous.

And i calculated rhl and lhl in a confusing manner.
Vivek, if u r sure can u tell me how u calculated rhl and lhl,since we can't use l-hospital or any normal method.

71
Vivek @ Born this Way ·

Taking x = 0 + h where h → 0

7
Sigma ·

hmmmm, i did it in the same way.

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