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The Bruins will join the Rangers in carrying a wave of momentum into Game 1 in Boston on Thursday night.

“I still think we can improve and do a lot of things better, and we have to, if we want to beat Boston,” Lundqvist said. “It’s going to be a tough series. The great thing here, we managed to win the series without playing our absolute best. Going down the stretch, we really improved as a group, and personally, as well. But I think we all know that playing Boston now, we have to step it up a little more.”

The areas in which the Rangers need improvement are clear. It would have seemed impossible that New York could have won even one series without a goal from Nash and only one each from captain Ryan Callahan and Brad Richards.

The sixth-seeded Rangers certainly won’t count on it happening twice. New York also has to figure out its power play that converted only two of 28 chances against Washington.

“I think the offense will come,” said Nash, who had just two assists in the series after a 21-goal, 42-point regular season. “I was getting a few chances. My main goal is trying to help the team. It’s unfortunate I can’t do it right now by bringing the offense. I’m just trying to make good defensive plays, trying to set guys up and bring some momentum swings.”

While they weren’t getting production from big-name players, the Rangers got surprising offense from players such as Brian Boyle and Arron Asham, who both had two goals in the series after combining for only four goals in the 48-game regular season.

Asham started the barrage Monday with a first-period goal that got the Rangers rolling. New York scored only 11 goals in the first six games against Washington.

“It’s important to have depth in your lineup, with everyone contributing,” said Taylor Pyatt, who also scored in Game 7. “It was such a tight-checking series. It was hard to get shots through, with so many guys blocking shots. To have that sort of scoring throughout our depth was really big for us.”

New York will need more of that, too, against the Bruins. The Rangers won two of three from Boston in the regular season — one in overtime and another in a shootout.

“They’re a big, physical team,” Asham said. “They have some skill up front, and I think we match up. We’ve just got to go there and play our game, play smart hockey and convert our chances, hopefully.”