# Answer on Calculus Question for Abhilash

Question #1938

Use the definition of e, and numerical approximations as y approaches 0 from the left, and y approaches 0 from the right.

(b) Use a calculator to estimate the values of the limits given below, correct to two decimal places.

lim (y -> 0) (2.7

____ < 1 < _______

What can you conclude about the value of e?

________ < e < _________

(b) Use a calculator to estimate the values of the limits given below, correct to two decimal places.

lim (y -> 0) (2.7

^{y}- 1)/ y and lim (y -> 0) (2.8^{y}- 1)/ y____ < 1 < _______

What can you conclude about the value of e?

________ < e < _________

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