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(Solved): Can you show me how to do these please 1. Evaluate the limits. (a) \( \lim _{x \rightarrow \in ...
Can you show me how to do these please
1. Evaluate the limits. (a) \( \lim _{x \rightarrow \infty} \frac{e^{2 x}+e^{-2 x}}{e^{2 x}-e^{-2 x}} \) (b) \( \lim _{x \rightarrow 0^{-}} e^{1 / x} \) (c) \( \lim _{x \rightarrow 0} e^{-1 / x^{2}} \) (d) \( \lim _{x \rightarrow 1} e^{1 /(x-1)} \)
Expert Answer
a. Solution: Given, limx??e2x+e?2xe2x?e?2x Dividing the numerator and denominator by e2x, We get limx??1+e?4x1?e?4x =limx??1+1e4x1?1e4x =1+1e4(?)1?1e4